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Finding the Fourth Proportional to 2,895.52, 4,349.04 and 2,123.68

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Solution

The fourth proportional to 2,895.52, 4,349.04 and 2,123.68 is: 3,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.52 : 4,349.04 = 2,123.68 : x
  2. Step 2: Convert to fraction form
    2,895.52/4,349.04 = 2,123.68/x
  3. Step 3: Cross multiply
    2,895.52x = 4,349.04 × 2,123.68
  4. Step 4: Simplify right side
    2,895.52x = 9,235,969.27
  5. Step 5: Solve for x
    x = 9,235,969.27/2,895.52
  6. Step 6: Final answer
    x = 3,189.74

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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.