Home / 1,552.31-2,142.19-870.95

Finding the Fourth Proportional to 1,552.31, 2,142.19 and 870.95

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Solution

The fourth proportional to 1,552.31, 2,142.19 and 870.95 is: 1,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.31 : 2,142.19 = 870.95 : x
  2. Step 2: Convert to fraction form
    1,552.31/2,142.19 = 870.95/x
  3. Step 3: Cross multiply
    1,552.31x = 2,142.19 × 870.95
  4. Step 4: Simplify right side
    1,552.31x = 1,865,729.88
  5. Step 5: Solve for x
    x = 1,865,729.88/1,552.31
  6. Step 6: Final answer
    x = 1,201.90

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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.