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Finding the Fourth Proportional to 2,471.56, 3,707.04 and 740.20

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Solution

The fourth proportional to 2,471.56, 3,707.04 and 740.20 is: 1,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.56 : 3,707.04 = 740.20 : x
  2. Step 2: Convert to fraction form
    2,471.56/3,707.04 = 740.20/x
  3. Step 3: Cross multiply
    2,471.56x = 3,707.04 × 740.20
  4. Step 4: Simplify right side
    2,471.56x = 2,743,951.01
  5. Step 5: Solve for x
    x = 2,743,951.01/2,471.56
  6. Step 6: Final answer
    x = 1,110.21

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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.