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Finding the Fourth Proportional to 2,945.38, 4,417.93 and 865.30

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Solution

The fourth proportional to 2,945.38, 4,417.93 and 865.30 is: 1,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.38 : 4,417.93 = 865.30 : x
  2. Step 2: Convert to fraction form
    2,945.38/4,417.93 = 865.30/x
  3. Step 3: Cross multiply
    2,945.38x = 4,417.93 × 865.30
  4. Step 4: Simplify right side
    2,945.38x = 3,822,834.83
  5. Step 5: Solve for x
    x = 3,822,834.83/2,945.38
  6. Step 6: Final answer
    x = 1,297.91

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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.