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Finding the Fourth Proportional to 2,123.40, 3,187.94 and 2,098.70

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Solution

The fourth proportional to 2,123.40, 3,187.94 and 2,098.70 is: 3,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.40 : 3,187.94 = 2,098.70 : x
  2. Step 2: Convert to fraction form
    2,123.40/3,187.94 = 2,098.70/x
  3. Step 3: Cross multiply
    2,123.40x = 3,187.94 × 2,098.70
  4. Step 4: Simplify right side
    2,123.40x = 6,690,503.24
  5. Step 5: Solve for x
    x = 6,690,503.24/2,123.40
  6. Step 6: Final answer
    x = 3,150.84

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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.