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Finding the Fourth Proportional to 2,215.23, 3,322.85 and 916.71

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Solution

The fourth proportional to 2,215.23, 3,322.85 and 916.71 is: 1,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.23 : 3,322.85 = 916.71 : x
  2. Step 2: Convert to fraction form
    2,215.23/3,322.85 = 916.71/x
  3. Step 3: Cross multiply
    2,215.23x = 3,322.85 × 916.71
  4. Step 4: Simplify right side
    2,215.23x = 3,046,085.24
  5. Step 5: Solve for x
    x = 3,046,085.24/2,215.23
  6. Step 6: Final answer
    x = 1,375.07

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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.