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Finding the Fourth Proportional to 2,583.76, 3,855.68 and 2,306.88

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Solution

The fourth proportional to 2,583.76, 3,855.68 and 2,306.88 is: 3,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.76 : 3,855.68 = 2,306.88 : x
  2. Step 2: Convert to fraction form
    2,583.76/3,855.68 = 2,306.88/x
  3. Step 3: Cross multiply
    2,583.76x = 3,855.68 × 2,306.88
  4. Step 4: Simplify right side
    2,583.76x = 8,894,591.08
  5. Step 5: Solve for x
    x = 8,894,591.08/2,583.76
  6. Step 6: Final answer
    x = 3,442.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.