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Finding the Fourth Proportional to 1,528.11, 2,108.90 and 898.61

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Solution

The fourth proportional to 1,528.11, 2,108.90 and 898.61 is: 1,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.11 : 2,108.90 = 898.61 : x
  2. Step 2: Convert to fraction form
    1,528.11/2,108.90 = 898.61/x
  3. Step 3: Cross multiply
    1,528.11x = 2,108.90 × 898.61
  4. Step 4: Simplify right side
    1,528.11x = 1,895,070.33
  5. Step 5: Solve for x
    x = 1,895,070.33/1,528.11
  6. Step 6: Final answer
    x = 1,240.14

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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.