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Finding the Fourth Proportional to 1,400.67, 2,098.94 and 1,246.90

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Solution

The fourth proportional to 1,400.67, 2,098.94 and 1,246.90 is: 1,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.67 : 2,098.94 = 1,246.90 : x
  2. Step 2: Convert to fraction form
    1,400.67/2,098.94 = 1,246.90/x
  3. Step 3: Cross multiply
    1,400.67x = 2,098.94 × 1,246.90
  4. Step 4: Simplify right side
    1,400.67x = 2,617,168.29
  5. Step 5: Solve for x
    x = 2,617,168.29/1,400.67
  6. Step 6: Final answer
    x = 1,868.52

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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.