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Finding the Fourth Proportional to 2,805.72, 4,209.12 and 956.76

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Solution

The fourth proportional to 2,805.72, 4,209.12 and 956.76 is: 1,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.72 : 4,209.12 = 956.76 : x
  2. Step 2: Convert to fraction form
    2,805.72/4,209.12 = 956.76/x
  3. Step 3: Cross multiply
    2,805.72x = 4,209.12 × 956.76
  4. Step 4: Simplify right side
    2,805.72x = 4,027,117.65
  5. Step 5: Solve for x
    x = 4,027,117.65/2,805.72
  6. Step 6: Final answer
    x = 1,435.32

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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.