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Finding the Fourth Proportional to 4,103.98, 6,159.20 and 1,507.66

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Solution

The fourth proportional to 4,103.98, 6,159.20 and 1,507.66 is: 2,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.98 : 6,159.20 = 1,507.66 : x
  2. Step 2: Convert to fraction form
    4,103.98/6,159.20 = 1,507.66/x
  3. Step 3: Cross multiply
    4,103.98x = 6,159.20 × 1,507.66
  4. Step 4: Simplify right side
    4,103.98x = 9,285,979.47
  5. Step 5: Solve for x
    x = 9,285,979.47/4,103.98
  6. Step 6: Final answer
    x = 2,262.68

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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.