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Finding the Fourth Proportional to 2,929.70, 4,394.77 and 981.90

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Solution

The fourth proportional to 2,929.70, 4,394.77 and 981.90 is: 1,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.70 : 4,394.77 = 981.90 : x
  2. Step 2: Convert to fraction form
    2,929.70/4,394.77 = 981.90/x
  3. Step 3: Cross multiply
    2,929.70x = 4,394.77 × 981.90
  4. Step 4: Simplify right side
    2,929.70x = 4,315,224.66
  5. Step 5: Solve for x
    x = 4,315,224.66/2,929.70
  6. Step 6: Final answer
    x = 1,472.92

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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.