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Finding the Fourth Proportional to 1,822.90, 2,737.10 and 1,456.60

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Solution

The fourth proportional to 1,822.90, 2,737.10 and 1,456.60 is: 2,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.90 : 2,737.10 = 1,456.60 : x
  2. Step 2: Convert to fraction form
    1,822.90/2,737.10 = 1,456.60/x
  3. Step 3: Cross multiply
    1,822.90x = 2,737.10 × 1,456.60
  4. Step 4: Simplify right side
    1,822.90x = 3,986,859.86
  5. Step 5: Solve for x
    x = 3,986,859.86/1,822.90
  6. Step 6: Final answer
    x = 2,187.10

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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.