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Finding the Fourth Proportional to 2,876.91, 4,317.18 and 1,646.72

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Solution

The fourth proportional to 2,876.91, 4,317.18 and 1,646.72 is: 2,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.91 : 4,317.18 = 1,646.72 : x
  2. Step 2: Convert to fraction form
    2,876.91/4,317.18 = 1,646.72/x
  3. Step 3: Cross multiply
    2,876.91x = 4,317.18 × 1,646.72
  4. Step 4: Simplify right side
    2,876.91x = 7,109,186.65
  5. Step 5: Solve for x
    x = 7,109,186.65/2,876.91
  6. Step 6: Final answer
    x = 2,471.12

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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.