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Finding the Fourth Proportional to 2,587.32, 3,880.50 and 855.72

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Solution

The fourth proportional to 2,587.32, 3,880.50 and 855.72 is: 1,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.32 : 3,880.50 = 855.72 : x
  2. Step 2: Convert to fraction form
    2,587.32/3,880.50 = 855.72/x
  3. Step 3: Cross multiply
    2,587.32x = 3,880.50 × 855.72
  4. Step 4: Simplify right side
    2,587.32x = 3,320,621.46
  5. Step 5: Solve for x
    x = 3,320,621.46/2,587.32
  6. Step 6: Final answer
    x = 1,283.42

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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.