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Finding the Fourth Proportional to 3,102.90, 4,647.15 and 2,123.70

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Solution

The fourth proportional to 3,102.90, 4,647.15 and 2,123.70 is: 3,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.90 : 4,647.15 = 2,123.70 : x
  2. Step 2: Convert to fraction form
    3,102.90/4,647.15 = 2,123.70/x
  3. Step 3: Cross multiply
    3,102.90x = 4,647.15 × 2,123.70
  4. Step 4: Simplify right side
    3,102.90x = 9,869,152.46
  5. Step 5: Solve for x
    x = 9,869,152.46/3,102.90
  6. Step 6: Final answer
    x = 3,180.62

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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.