Home / 1,520.39-2,098.14-821.76

Finding the Fourth Proportional to 1,520.39, 2,098.14 and 821.76

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Solution

The fourth proportional to 1,520.39, 2,098.14 and 821.76 is: 1,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.39 : 2,098.14 = 821.76 : x
  2. Step 2: Convert to fraction form
    1,520.39/2,098.14 = 821.76/x
  3. Step 3: Cross multiply
    1,520.39x = 2,098.14 × 821.76
  4. Step 4: Simplify right side
    1,520.39x = 1,724,168.66
  5. Step 5: Solve for x
    x = 1,724,168.66/1,520.39
  6. Step 6: Final answer
    x = 1,134.03

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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.