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Finding the Fourth Proportional to 2,097.92, 3,149.40 and 1,588.16

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Solution

The fourth proportional to 2,097.92, 3,149.40 and 1,588.16 is: 2,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.92 : 3,149.40 = 1,588.16 : x
  2. Step 2: Convert to fraction form
    2,097.92/3,149.40 = 1,588.16/x
  3. Step 3: Cross multiply
    2,097.92x = 3,149.40 × 1,588.16
  4. Step 4: Simplify right side
    2,097.92x = 5,001,751.10
  5. Step 5: Solve for x
    x = 5,001,751.10/2,097.92
  6. Step 6: Final answer
    x = 2,384.15

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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.