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Finding the Fourth Proportional to 1,965.76, 2,948.82 and 991.24

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Solution

The fourth proportional to 1,965.76, 2,948.82 and 991.24 is: 1,486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.76 : 2,948.82 = 991.24 : x
  2. Step 2: Convert to fraction form
    1,965.76/2,948.82 = 991.24/x
  3. Step 3: Cross multiply
    1,965.76x = 2,948.82 × 991.24
  4. Step 4: Simplify right side
    1,965.76x = 2,922,988.34
  5. Step 5: Solve for x
    x = 2,922,988.34/1,965.76
  6. Step 6: Final answer
    x = 1,486.95

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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.