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Finding the Fourth Proportional to 2,160.18, 2,978.82 and 1,451.25

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Solution

The fourth proportional to 2,160.18, 2,978.82 and 1,451.25 is: 2,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.18 : 2,978.82 = 1,451.25 : x
  2. Step 2: Convert to fraction form
    2,160.18/2,978.82 = 1,451.25/x
  3. Step 3: Cross multiply
    2,160.18x = 2,978.82 × 1,451.25
  4. Step 4: Simplify right side
    2,160.18x = 4,323,012.53
  5. Step 5: Solve for x
    x = 4,323,012.53/2,160.18
  6. Step 6: Final answer
    x = 2,001.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.