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Finding the Fourth Proportional to 2,497.68, 3,746.52 and 1,036.44

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Solution

The fourth proportional to 2,497.68, 3,746.52 and 1,036.44 is: 1,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.68 : 3,746.52 = 1,036.44 : x
  2. Step 2: Convert to fraction form
    2,497.68/3,746.52 = 1,036.44/x
  3. Step 3: Cross multiply
    2,497.68x = 3,746.52 × 1,036.44
  4. Step 4: Simplify right side
    2,497.68x = 3,883,019.27
  5. Step 5: Solve for x
    x = 3,883,019.27/2,497.68
  6. Step 6: Final answer
    x = 1,554.65

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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.