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Finding the Fourth Proportional to 2,098.87, 3,147.14 and 866.00

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Solution

The fourth proportional to 2,098.87, 3,147.14 and 866.00 is: 1,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.87 : 3,147.14 = 866.00 : x
  2. Step 2: Convert to fraction form
    2,098.87/3,147.14 = 866.00/x
  3. Step 3: Cross multiply
    2,098.87x = 3,147.14 × 866.00
  4. Step 4: Simplify right side
    2,098.87x = 2,725,409.67
  5. Step 5: Solve for x
    x = 2,725,409.67/2,098.87
  6. Step 6: Final answer
    x = 1,298.52

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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.