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Finding the Fourth Proportional to 2,497.68, 3,747 and 1,036.56

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Solution

The fourth proportional to 2,497.68, 3,747 and 1,036.56 is: 1,555.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.68 : 3,747 = 1,036.56 : x
  2. Step 2: Convert to fraction form
    2,497.68/3,747 = 1,036.56/x
  3. Step 3: Cross multiply
    2,497.68x = 3,747 × 1,036.56
  4. Step 4: Simplify right side
    2,497.68x = 3,883,990.32
  5. Step 5: Solve for x
    x = 3,883,990.32/2,497.68
  6. Step 6: Final answer
    x = 1,555.04

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