Home / 1,534.13-2,116.90-871.04

Finding the Fourth Proportional to 1,534.13, 2,116.90 and 871.04

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Solution

The fourth proportional to 1,534.13, 2,116.90 and 871.04 is: 1,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.13 : 2,116.90 = 871.04 : x
  2. Step 2: Convert to fraction form
    1,534.13/2,116.90 = 871.04/x
  3. Step 3: Cross multiply
    1,534.13x = 2,116.90 × 871.04
  4. Step 4: Simplify right side
    1,534.13x = 1,843,904.58
  5. Step 5: Solve for x
    x = 1,843,904.58/1,534.13
  6. Step 6: Final answer
    x = 1,201.92

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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.