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Finding the Fourth Proportional to 3,027.55, 4,542.71 and 1,565.91

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Solution

The fourth proportional to 3,027.55, 4,542.71 and 1,565.91 is: 2,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.55 : 4,542.71 = 1,565.91 : x
  2. Step 2: Convert to fraction form
    3,027.55/4,542.71 = 1,565.91/x
  3. Step 3: Cross multiply
    3,027.55x = 4,542.71 × 1,565.91
  4. Step 4: Simplify right side
    3,027.55x = 7,113,475.02
  5. Step 5: Solve for x
    x = 7,113,475.02/3,027.55
  6. Step 6: Final answer
    x = 2,349.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.