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Finding the Fourth Proportional to 2,471.50, 3,707.25 and 740.13

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Solution

The fourth proportional to 2,471.50, 3,707.25 and 740.13 is: 1,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.50 : 3,707.25 = 740.13 : x
  2. Step 2: Convert to fraction form
    2,471.50/3,707.25 = 740.13/x
  3. Step 3: Cross multiply
    2,471.50x = 3,707.25 × 740.13
  4. Step 4: Simplify right side
    2,471.50x = 2,743,846.94
  5. Step 5: Solve for x
    x = 2,743,846.94/2,471.50
  6. Step 6: Final answer
    x = 1,110.20

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.