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Finding the Fourth Proportional to 3,097.64, 4,645.32 and 1,248.14

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Solution

The fourth proportional to 3,097.64, 4,645.32 and 1,248.14 is: 1,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.64 : 4,645.32 = 1,248.14 : x
  2. Step 2: Convert to fraction form
    3,097.64/4,645.32 = 1,248.14/x
  3. Step 3: Cross multiply
    3,097.64x = 4,645.32 × 1,248.14
  4. Step 4: Simplify right side
    3,097.64x = 5,797,986.48
  5. Step 5: Solve for x
    x = 5,797,986.48/3,097.64
  6. Step 6: Final answer
    x = 1,871.75

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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.