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Finding the Fourth Proportional to 2,877.24, 4,305.78 and 2,145

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Solution

The fourth proportional to 2,877.24, 4,305.78 and 2,145 is: 3,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.24 : 4,305.78 = 2,145 : x
  2. Step 2: Convert to fraction form
    2,877.24/4,305.78 = 2,145/x
  3. Step 3: Cross multiply
    2,877.24x = 4,305.78 × 2,145
  4. Step 4: Simplify right side
    2,877.24x = 9,235,898.10
  5. Step 5: Solve for x
    x = 9,235,898.10/2,877.24
  6. Step 6: Final answer
    x = 3,209.99

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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.