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Finding the Fourth Proportional to 1,394.71, 1,927.15 and 1,098.31

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Solution

The fourth proportional to 1,394.71, 1,927.15 and 1,098.31 is: 1,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.71 : 1,927.15 = 1,098.31 : x
  2. Step 2: Convert to fraction form
    1,394.71/1,927.15 = 1,098.31/x
  3. Step 3: Cross multiply
    1,394.71x = 1,927.15 × 1,098.31
  4. Step 4: Simplify right side
    1,394.71x = 2,116,615.39
  5. Step 5: Solve for x
    x = 2,116,615.39/1,394.71
  6. Step 6: Final answer
    x = 1,517.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.