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Finding the Fourth Proportional to 1,528.56, 2,292.61 and 591.26

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Solution

The fourth proportional to 1,528.56, 2,292.61 and 591.26 is: 886.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.56 : 2,292.61 = 591.26 : x
  2. Step 2: Convert to fraction form
    1,528.56/2,292.61 = 591.26/x
  3. Step 3: Cross multiply
    1,528.56x = 2,292.61 × 591.26
  4. Step 4: Simplify right side
    1,528.56x = 1,355,528.59
  5. Step 5: Solve for x
    x = 1,355,528.59/1,528.56
  6. Step 6: Final answer
    x = 886.80

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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.