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Finding the Fourth Proportional to 2,472.41, 3,708.20 and 740.63

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Solution

The fourth proportional to 2,472.41, 3,708.20 and 740.63 is: 1,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.41 : 3,708.20 = 740.63 : x
  2. Step 2: Convert to fraction form
    2,472.41/3,708.20 = 740.63/x
  3. Step 3: Cross multiply
    2,472.41x = 3,708.20 × 740.63
  4. Step 4: Simplify right side
    2,472.41x = 2,746,381.92
  5. Step 5: Solve for x
    x = 2,746,381.92/2,472.41
  6. Step 6: Final answer
    x = 1,110.81

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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.