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Finding the Fourth Proportional to 1,809.87, 2,497.21 and 1,102.08

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Solution

The fourth proportional to 1,809.87, 2,497.21 and 1,102.08 is: 1,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.87 : 2,497.21 = 1,102.08 : x
  2. Step 2: Convert to fraction form
    1,809.87/2,497.21 = 1,102.08/x
  3. Step 3: Cross multiply
    1,809.87x = 2,497.21 × 1,102.08
  4. Step 4: Simplify right side
    1,809.87x = 2,752,126.57
  5. Step 5: Solve for x
    x = 2,752,126.57/1,809.87
  6. Step 6: Final answer
    x = 1,520.62

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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.