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Finding the Fourth Proportional to 3,123.48, 4,684.50 and 1,175.88

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Solution

The fourth proportional to 3,123.48, 4,684.50 and 1,175.88 is: 1,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.48 : 4,684.50 = 1,175.88 : x
  2. Step 2: Convert to fraction form
    3,123.48/4,684.50 = 1,175.88/x
  3. Step 3: Cross multiply
    3,123.48x = 4,684.50 × 1,175.88
  4. Step 4: Simplify right side
    3,123.48x = 5,508,409.86
  5. Step 5: Solve for x
    x = 5,508,409.86/3,123.48
  6. Step 6: Final answer
    x = 1,763.55

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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.