Home / 1,549.32-2,138.14-960.20

Finding the Fourth Proportional to 1,549.32, 2,138.14 and 960.20

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Solution

The fourth proportional to 1,549.32, 2,138.14 and 960.20 is: 1,325.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.32 : 2,138.14 = 960.20 : x
  2. Step 2: Convert to fraction form
    1,549.32/2,138.14 = 960.20/x
  3. Step 3: Cross multiply
    1,549.32x = 2,138.14 × 960.20
  4. Step 4: Simplify right side
    1,549.32x = 2,053,042.03
  5. Step 5: Solve for x
    x = 2,053,042.03/1,549.32
  6. Step 6: Final answer
    x = 1,325.12

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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.