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Finding the Fourth Proportional to 1,528.16, 2,288.59 and 876.92

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Solution

The fourth proportional to 1,528.16, 2,288.59 and 876.92 is: 1,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.16 : 2,288.59 = 876.92 : x
  2. Step 2: Convert to fraction form
    1,528.16/2,288.59 = 876.92/x
  3. Step 3: Cross multiply
    1,528.16x = 2,288.59 × 876.92
  4. Step 4: Simplify right side
    1,528.16x = 2,006,896.71
  5. Step 5: Solve for x
    x = 2,006,896.71/1,528.16
  6. Step 6: Final answer
    x = 1,313.28

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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.