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Finding the Fourth Proportional to 2,457.28, 3,685.36 and 725.52

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Solution

The fourth proportional to 2,457.28, 3,685.36 and 725.52 is: 1,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.28 : 3,685.36 = 725.52 : x
  2. Step 2: Convert to fraction form
    2,457.28/3,685.36 = 725.52/x
  3. Step 3: Cross multiply
    2,457.28x = 3,685.36 × 725.52
  4. Step 4: Simplify right side
    2,457.28x = 2,673,802.39
  5. Step 5: Solve for x
    x = 2,673,802.39/2,457.28
  6. Step 6: Final answer
    x = 1,088.11

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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.