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Finding the Fourth Proportional to 2,012.35, 3,019.56 and 916.57

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Solution

The fourth proportional to 2,012.35, 3,019.56 and 916.57 is: 1,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.35 : 3,019.56 = 916.57 : x
  2. Step 2: Convert to fraction form
    2,012.35/3,019.56 = 916.57/x
  3. Step 3: Cross multiply
    2,012.35x = 3,019.56 × 916.57
  4. Step 4: Simplify right side
    2,012.35x = 2,767,638.11
  5. Step 5: Solve for x
    x = 2,767,638.11/2,012.35
  6. Step 6: Final answer
    x = 1,375.33

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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.