Home / 1,566.14-2,161.20-867.46

Finding the Fourth Proportional to 1,566.14, 2,161.20 and 867.46

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Solution

The fourth proportional to 1,566.14, 2,161.20 and 867.46 is: 1,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.14 : 2,161.20 = 867.46 : x
  2. Step 2: Convert to fraction form
    1,566.14/2,161.20 = 867.46/x
  3. Step 3: Cross multiply
    1,566.14x = 2,161.20 × 867.46
  4. Step 4: Simplify right side
    1,566.14x = 1,874,754.55
  5. Step 5: Solve for x
    x = 1,874,754.55/1,566.14
  6. Step 6: Final answer
    x = 1,197.05

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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.