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Finding the Fourth Proportional to 1,558.97, 2,151.38 and 969.50

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Solution

The fourth proportional to 1,558.97, 2,151.38 and 969.50 is: 1,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.97 : 2,151.38 = 969.50 : x
  2. Step 2: Convert to fraction form
    1,558.97/2,151.38 = 969.50/x
  3. Step 3: Cross multiply
    1,558.97x = 2,151.38 × 969.50
  4. Step 4: Simplify right side
    1,558.97x = 2,085,770.71
  5. Step 5: Solve for x
    x = 2,085,770.71/1,558.97
  6. Step 6: Final answer
    x = 1,337.91

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Why These Related Problems?

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