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Finding the Fourth Proportional to 2,324.52, 3,211.02 and 1,887.84

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Solution

The fourth proportional to 2,324.52, 3,211.02 and 1,887.84 is: 2,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.52 : 3,211.02 = 1,887.84 : x
  2. Step 2: Convert to fraction form
    2,324.52/3,211.02 = 1,887.84/x
  3. Step 3: Cross multiply
    2,324.52x = 3,211.02 × 1,887.84
  4. Step 4: Simplify right side
    2,324.52x = 6,061,892.00
  5. Step 5: Solve for x
    x = 6,061,892.00/2,324.52
  6. Step 6: Final answer
    x = 2,607.80

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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.