Home / 1,534.25-2,116.13-1,202.02

Finding the Fourth Proportional to 1,534.25, 2,116.13 and 1,202.02

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Solution

The fourth proportional to 1,534.25, 2,116.13 and 1,202.02 is: 1,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.25 : 2,116.13 = 1,202.02 : x
  2. Step 2: Convert to fraction form
    1,534.25/2,116.13 = 1,202.02/x
  3. Step 3: Cross multiply
    1,534.25x = 2,116.13 × 1,202.02
  4. Step 4: Simplify right side
    1,534.25x = 2,543,619.28
  5. Step 5: Solve for x
    x = 2,543,619.28/1,534.25
  6. Step 6: Final answer
    x = 1,657.89

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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.