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Finding the Fourth Proportional to 2,123.97, 3,182.68 and 890.70

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Solution

The fourth proportional to 2,123.97, 3,182.68 and 890.70 is: 1,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.97 : 3,182.68 = 890.70 : x
  2. Step 2: Convert to fraction form
    2,123.97/3,182.68 = 890.70/x
  3. Step 3: Cross multiply
    2,123.97x = 3,182.68 × 890.70
  4. Step 4: Simplify right side
    2,123.97x = 2,834,813.08
  5. Step 5: Solve for x
    x = 2,834,813.08/2,123.97
  6. Step 6: Final answer
    x = 1,334.68

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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.