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Finding the Fourth Proportional to 2,312.20, 3,123.90 and 2,312.20

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Solution

The fourth proportional to 2,312.20, 3,123.90 and 2,312.20 is: 3,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.20 : 3,123.90 = 2,312.20 : x
  2. Step 2: Convert to fraction form
    2,312.20/3,123.90 = 2,312.20/x
  3. Step 3: Cross multiply
    2,312.20x = 3,123.90 × 2,312.20
  4. Step 4: Simplify right side
    2,312.20x = 7,223,081.58
  5. Step 5: Solve for x
    x = 7,223,081.58/2,312.20
  6. Step 6: Final answer
    x = 3,123.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.