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Finding the Fourth Proportional to 1,874.34, 2,811.52 and 834.10

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Solution

The fourth proportional to 1,874.34, 2,811.52 and 834.10 is: 1,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.34 : 2,811.52 = 834.10 : x
  2. Step 2: Convert to fraction form
    1,874.34/2,811.52 = 834.10/x
  3. Step 3: Cross multiply
    1,874.34x = 2,811.52 × 834.10
  4. Step 4: Simplify right side
    1,874.34x = 2,345,088.83
  5. Step 5: Solve for x
    x = 2,345,088.83/1,874.34
  6. Step 6: Final answer
    x = 1,251.15

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Similar ratio
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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.