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Finding the Fourth Proportional to 2,864.04, 4,295.52 and 889.38

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Solution

The fourth proportional to 2,864.04, 4,295.52 and 889.38 is: 1,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.04 : 4,295.52 = 889.38 : x
  2. Step 2: Convert to fraction form
    2,864.04/4,295.52 = 889.38/x
  3. Step 3: Cross multiply
    2,864.04x = 4,295.52 × 889.38
  4. Step 4: Simplify right side
    2,864.04x = 3,820,349.58
  5. Step 5: Solve for x
    x = 3,820,349.58/2,864.04
  6. Step 6: Final answer
    x = 1,333.90

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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.