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Finding the Fourth Proportional to 2,347.89, 3,519.65 and 1,177.17

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Solution

The fourth proportional to 2,347.89, 3,519.65 and 1,177.17 is: 1,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.89 : 3,519.65 = 1,177.17 : x
  2. Step 2: Convert to fraction form
    2,347.89/3,519.65 = 1,177.17/x
  3. Step 3: Cross multiply
    2,347.89x = 3,519.65 × 1,177.17
  4. Step 4: Simplify right side
    2,347.89x = 4,143,220.50
  5. Step 5: Solve for x
    x = 4,143,220.50/2,347.89
  6. Step 6: Final answer
    x = 1,764.66

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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.