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Finding the Fourth Proportional to 2,585.22, 3,877.65 and 853.74

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Solution

The fourth proportional to 2,585.22, 3,877.65 and 853.74 is: 1,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.22 : 3,877.65 = 853.74 : x
  2. Step 2: Convert to fraction form
    2,585.22/3,877.65 = 853.74/x
  3. Step 3: Cross multiply
    2,585.22x = 3,877.65 × 853.74
  4. Step 4: Simplify right side
    2,585.22x = 3,310,504.91
  5. Step 5: Solve for x
    x = 3,310,504.91/2,585.22
  6. Step 6: Final answer
    x = 1,280.55

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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.