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Finding the Fourth Proportional to 2,864.35, 4,297.20 and 916.57

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Solution

The fourth proportional to 2,864.35, 4,297.20 and 916.57 is: 1,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.35 : 4,297.20 = 916.57 : x
  2. Step 2: Convert to fraction form
    2,864.35/4,297.20 = 916.57/x
  3. Step 3: Cross multiply
    2,864.35x = 4,297.20 × 916.57
  4. Step 4: Simplify right side
    2,864.35x = 3,938,684.60
  5. Step 5: Solve for x
    x = 3,938,684.60/2,864.35
  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.