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Finding the Fourth Proportional to 2,497.03, 3,446.42 and 1,657.78

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Solution

The fourth proportional to 2,497.03, 3,446.42 and 1,657.78 is: 2,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.03 : 3,446.42 = 1,657.78 : x
  2. Step 2: Convert to fraction form
    2,497.03/3,446.42 = 1,657.78/x
  3. Step 3: Cross multiply
    2,497.03x = 3,446.42 × 1,657.78
  4. Step 4: Simplify right side
    2,497.03x = 5,713,406.15
  5. Step 5: Solve for x
    x = 5,713,406.15/2,497.03
  6. Step 6: Final answer
    x = 2,288.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.