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Finding the Fourth Proportional to 4,097.64, 6,142.76 and 1,499.97

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Solution

The fourth proportional to 4,097.64, 6,142.76 and 1,499.97 is: 2,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.64 : 6,142.76 = 1,499.97 : x
  2. Step 2: Convert to fraction form
    4,097.64/6,142.76 = 1,499.97/x
  3. Step 3: Cross multiply
    4,097.64x = 6,142.76 × 1,499.97
  4. Step 4: Simplify right side
    4,097.64x = 9,213,955.72
  5. Step 5: Solve for x
    x = 9,213,955.72/4,097.64
  6. Step 6: Final answer
    x = 2,248.60

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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.