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Finding the Fourth Proportional to 2,497.30, 3,746.04 and 1,913.14

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Solution

The fourth proportional to 2,497.30, 3,746.04 and 1,913.14 is: 2,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.30 : 3,746.04 = 1,913.14 : x
  2. Step 2: Convert to fraction form
    2,497.30/3,746.04 = 1,913.14/x
  3. Step 3: Cross multiply
    2,497.30x = 3,746.04 × 1,913.14
  4. Step 4: Simplify right side
    2,497.30x = 7,166,698.97
  5. Step 5: Solve for x
    x = 7,166,698.97/2,497.30
  6. Step 6: Final answer
    x = 2,869.78

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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.