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Finding the Fourth Proportional to 2,085.78, 3,130.44 and 916.73

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Solution

The fourth proportional to 2,085.78, 3,130.44 and 916.73 is: 1,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.78 : 3,130.44 = 916.73 : x
  2. Step 2: Convert to fraction form
    2,085.78/3,130.44 = 916.73/x
  3. Step 3: Cross multiply
    2,085.78x = 3,130.44 × 916.73
  4. Step 4: Simplify right side
    2,085.78x = 2,869,752.61
  5. Step 5: Solve for x
    x = 2,869,752.61/2,085.78
  6. Step 6: Final answer
    x = 1,375.87

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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.