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Finding the Fourth Proportional to 1,394.76, 2,092.14 and 983.70

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Solution

The fourth proportional to 1,394.76, 2,092.14 and 983.70 is: 1,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.76 : 2,092.14 = 983.70 : x
  2. Step 2: Convert to fraction form
    1,394.76/2,092.14 = 983.70/x
  3. Step 3: Cross multiply
    1,394.76x = 2,092.14 × 983.70
  4. Step 4: Simplify right side
    1,394.76x = 2,058,038.12
  5. Step 5: Solve for x
    x = 2,058,038.12/1,394.76
  6. Step 6: Final answer
    x = 1,475.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.