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Finding the Fourth Proportional to 2,123.85, 3,186.15 and 807.72

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Solution

The fourth proportional to 2,123.85, 3,186.15 and 807.72 is: 1,211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.85 : 3,186.15 = 807.72 : x
  2. Step 2: Convert to fraction form
    2,123.85/3,186.15 = 807.72/x
  3. Step 3: Cross multiply
    2,123.85x = 3,186.15 × 807.72
  4. Step 4: Simplify right side
    2,123.85x = 2,573,503.62
  5. Step 5: Solve for x
    x = 2,573,503.62/2,123.85
  6. Step 6: Final answer
    x = 1,211.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.