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Finding the Fourth Proportional to 1,398.50, 2,087.12 and 1,342.00

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Solution

The fourth proportional to 1,398.50, 2,087.12 and 1,342.00 is: 2,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.50 : 2,087.12 = 1,342.00 : x
  2. Step 2: Convert to fraction form
    1,398.50/2,087.12 = 1,342.00/x
  3. Step 3: Cross multiply
    1,398.50x = 2,087.12 × 1,342.00
  4. Step 4: Simplify right side
    1,398.50x = 2,800,913.18
  5. Step 5: Solve for x
    x = 2,800,913.18/1,398.50
  6. Step 6: Final answer
    x = 2,002.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.