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Finding the Fourth Proportional to 2,587.20, 3,880.84 and 855.84

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Solution

The fourth proportional to 2,587.20, 3,880.84 and 855.84 is: 1,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.20 : 3,880.84 = 855.84 : x
  2. Step 2: Convert to fraction form
    2,587.20/3,880.84 = 855.84/x
  3. Step 3: Cross multiply
    2,587.20x = 3,880.84 × 855.84
  4. Step 4: Simplify right side
    2,587.20x = 3,321,378.11
  5. Step 5: Solve for x
    x = 3,321,378.11/2,587.20
  6. Step 6: Final answer
    x = 1,283.77

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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.