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Finding the Fourth Proportional to 3,097.74, 4,646.40 and 1,246.62

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Solution

The fourth proportional to 3,097.74, 4,646.40 and 1,246.62 is: 1,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.74 : 4,646.40 = 1,246.62 : x
  2. Step 2: Convert to fraction form
    3,097.74/4,646.40 = 1,246.62/x
  3. Step 3: Cross multiply
    3,097.74x = 4,646.40 × 1,246.62
  4. Step 4: Simplify right side
    3,097.74x = 5,792,295.17
  5. Step 5: Solve for x
    x = 5,792,295.17/3,097.74
  6. Step 6: Final answer
    x = 1,869.85

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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.