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Finding the Fourth Proportional to 2,013.67, 3,018.07 and 916.53

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Solution

The fourth proportional to 2,013.67, 3,018.07 and 916.53 is: 1,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.67 : 3,018.07 = 916.53 : x
  2. Step 2: Convert to fraction form
    2,013.67/3,018.07 = 916.53/x
  3. Step 3: Cross multiply
    2,013.67x = 3,018.07 × 916.53
  4. Step 4: Simplify right side
    2,013.67x = 2,766,151.70
  5. Step 5: Solve for x
    x = 2,766,151.70/2,013.67
  6. Step 6: Final answer
    x = 1,373.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.