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Finding the Fourth Proportional to 2,246.74, 3,368.03 and 1,148.68

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Solution

The fourth proportional to 2,246.74, 3,368.03 and 1,148.68 is: 1,721.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.74 : 3,368.03 = 1,148.68 : x
  2. Step 2: Convert to fraction form
    2,246.74/3,368.03 = 1,148.68/x
  3. Step 3: Cross multiply
    2,246.74x = 3,368.03 × 1,148.68
  4. Step 4: Simplify right side
    2,246.74x = 3,868,787.17
  5. Step 5: Solve for x
    x = 3,868,787.17/2,246.74
  6. Step 6: Final answer
    x = 1,721.96

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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.