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Finding the Fourth Proportional to 1,558, 2,334.66 and 1,166.16

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Solution

The fourth proportional to 1,558, 2,334.66 and 1,166.16 is: 1,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558 : 2,334.66 = 1,166.16 : x
  2. Step 2: Convert to fraction form
    1,558/2,334.66 = 1,166.16/x
  3. Step 3: Cross multiply
    1,558x = 2,334.66 × 1,166.16
  4. Step 4: Simplify right side
    1,558x = 2,722,587.11
  5. Step 5: Solve for x
    x = 2,722,587.11/1,558
  6. Step 6: Final answer
    x = 1,747.49

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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.