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Finding the Fourth Proportional to 2,123.90, 3,183.60 and 807.06

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Solution

The fourth proportional to 2,123.90, 3,183.60 and 807.06 is: 1,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.90 : 3,183.60 = 807.06 : x
  2. Step 2: Convert to fraction form
    2,123.90/3,183.60 = 807.06/x
  3. Step 3: Cross multiply
    2,123.90x = 3,183.60 × 807.06
  4. Step 4: Simplify right side
    2,123.90x = 2,569,356.22
  5. Step 5: Solve for x
    x = 2,569,356.22/2,123.90
  6. Step 6: Final answer
    x = 1,209.74

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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.