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Finding the Fourth Proportional to 1,981.36, 2,959.03 and 1,591.95

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Solution

The fourth proportional to 1,981.36, 2,959.03 and 1,591.95 is: 2,377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.36 : 2,959.03 = 1,591.95 : x
  2. Step 2: Convert to fraction form
    1,981.36/2,959.03 = 1,591.95/x
  3. Step 3: Cross multiply
    1,981.36x = 2,959.03 × 1,591.95
  4. Step 4: Simplify right side
    1,981.36x = 4,710,640.89
  5. Step 5: Solve for x
    x = 4,710,640.89/1,981.36
  6. Step 6: Final answer
    x = 2,377.48

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Why These Related Problems?

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