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Finding the Fourth Proportional to 1,535.20, 2,301.51 and 668.86

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Solution

The fourth proportional to 1,535.20, 2,301.51 and 668.86 is: 1,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.20 : 2,301.51 = 668.86 : x
  2. Step 2: Convert to fraction form
    1,535.20/2,301.51 = 668.86/x
  3. Step 3: Cross multiply
    1,535.20x = 2,301.51 × 668.86
  4. Step 4: Simplify right side
    1,535.20x = 1,539,387.98
  5. Step 5: Solve for x
    x = 1,539,387.98/1,535.20
  6. Step 6: Final answer
    x = 1,002.73

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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.