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Finding the Fourth Proportional to 2,098.40, 3,151.20 and 1,486.40

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Solution

The fourth proportional to 2,098.40, 3,151.20 and 1,486.40 is: 2,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.40 : 3,151.20 = 1,486.40 : x
  2. Step 2: Convert to fraction form
    2,098.40/3,151.20 = 1,486.40/x
  3. Step 3: Cross multiply
    2,098.40x = 3,151.20 × 1,486.40
  4. Step 4: Simplify right side
    2,098.40x = 4,683,943.68
  5. Step 5: Solve for x
    x = 4,683,943.68/2,098.40
  6. Step 6: Final answer
    x = 2,232.15

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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.