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Finding the Fourth Proportional to 2,471.63, 3,707.46 and 740.25

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Solution

The fourth proportional to 2,471.63, 3,707.46 and 740.25 is: 1,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.63 : 3,707.46 = 740.25 : x
  2. Step 2: Convert to fraction form
    2,471.63/3,707.46 = 740.25/x
  3. Step 3: Cross multiply
    2,471.63x = 3,707.46 × 740.25
  4. Step 4: Simplify right side
    2,471.63x = 2,744,447.27
  5. Step 5: Solve for x
    x = 2,744,447.27/2,471.63
  6. Step 6: Final answer
    x = 1,110.38

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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.