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Finding the Fourth Proportional to 1,527.68, 2,288.16 and 1,141.76

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Solution

The fourth proportional to 1,527.68, 2,288.16 and 1,141.76 is: 1,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.68 : 2,288.16 = 1,141.76 : x
  2. Step 2: Convert to fraction form
    1,527.68/2,288.16 = 1,141.76/x
  3. Step 3: Cross multiply
    1,527.68x = 2,288.16 × 1,141.76
  4. Step 4: Simplify right side
    1,527.68x = 2,612,529.56
  5. Step 5: Solve for x
    x = 2,612,529.56/1,527.68
  6. Step 6: Final answer
    x = 1,710.13

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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.