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Finding the Fourth Proportional to 3,098.00, 4,648.52 and 1,454.69

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Solution

The fourth proportional to 3,098.00, 4,648.52 and 1,454.69 is: 2,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.00 : 4,648.52 = 1,454.69 : x
  2. Step 2: Convert to fraction form
    3,098.00/4,648.52 = 1,454.69/x
  3. Step 3: Cross multiply
    3,098.00x = 4,648.52 × 1,454.69
  4. Step 4: Simplify right side
    3,098.00x = 6,762,170.82
  5. Step 5: Solve for x
    x = 6,762,170.82/3,098.00
  6. Step 6: Final answer
    x = 2,182.75

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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.