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Finding the Fourth Proportional to 1,651.38, 2,278.08 and 987.84

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Solution

The fourth proportional to 1,651.38, 2,278.08 and 987.84 is: 1,362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.38 : 2,278.08 = 987.84 : x
  2. Step 2: Convert to fraction form
    1,651.38/2,278.08 = 987.84/x
  3. Step 3: Cross multiply
    1,651.38x = 2,278.08 × 987.84
  4. Step 4: Simplify right side
    1,651.38x = 2,250,378.55
  5. Step 5: Solve for x
    x = 2,250,378.55/1,651.38
  6. Step 6: Final answer
    x = 1,362.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.