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Finding the Fourth Proportional to 3,001.64, 4,499.68 and 1,537.56

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Solution

The fourth proportional to 3,001.64, 4,499.68 and 1,537.56 is: 2,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.64 : 4,499.68 = 1,537.56 : x
  2. Step 2: Convert to fraction form
    3,001.64/4,499.68 = 1,537.56/x
  3. Step 3: Cross multiply
    3,001.64x = 4,499.68 × 1,537.56
  4. Step 4: Simplify right side
    3,001.64x = 6,918,527.98
  5. Step 5: Solve for x
    x = 6,918,527.98/3,001.64
  6. Step 6: Final answer
    x = 2,304.92

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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.