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Finding the Fourth Proportional to 2,123.66, 3,184.46 and 890.74

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Solution

The fourth proportional to 2,123.66, 3,184.46 and 890.74 is: 1,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.66 : 3,184.46 = 890.74 : x
  2. Step 2: Convert to fraction form
    2,123.66/3,184.46 = 890.74/x
  3. Step 3: Cross multiply
    2,123.66x = 3,184.46 × 890.74
  4. Step 4: Simplify right side
    2,123.66x = 2,836,522.32
  5. Step 5: Solve for x
    x = 2,836,522.32/2,123.66
  6. Step 6: Final answer
    x = 1,335.68

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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.