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Finding the Fourth Proportional to 1,658.80, 2,475.72 and 1,528.56

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Solution

The fourth proportional to 1,658.80, 2,475.72 and 1,528.56 is: 2,281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.80 : 2,475.72 = 1,528.56 : x
  2. Step 2: Convert to fraction form
    1,658.80/2,475.72 = 1,528.56/x
  3. Step 3: Cross multiply
    1,658.80x = 2,475.72 × 1,528.56
  4. Step 4: Simplify right side
    1,658.80x = 3,784,286.56
  5. Step 5: Solve for x
    x = 3,784,286.56/1,658.80
  6. Step 6: Final answer
    x = 2,281.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.