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Finding the Fourth Proportional to 1,834.13, 2,531.10 and 994.83

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Solution

The fourth proportional to 1,834.13, 2,531.10 and 994.83 is: 1,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.13 : 2,531.10 = 994.83 : x
  2. Step 2: Convert to fraction form
    1,834.13/2,531.10 = 994.83/x
  3. Step 3: Cross multiply
    1,834.13x = 2,531.10 × 994.83
  4. Step 4: Simplify right side
    1,834.13x = 2,518,014.21
  5. Step 5: Solve for x
    x = 2,518,014.21/1,834.13
  6. Step 6: Final answer
    x = 1,372.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.