Home / 1,520.59-2,098.42-821.97

Finding the Fourth Proportional to 1,520.59, 2,098.42 and 821.97

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Solution

The fourth proportional to 1,520.59, 2,098.42 and 821.97 is: 1,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.59 : 2,098.42 = 821.97 : x
  2. Step 2: Convert to fraction form
    1,520.59/2,098.42 = 821.97/x
  3. Step 3: Cross multiply
    1,520.59x = 2,098.42 × 821.97
  4. Step 4: Simplify right side
    1,520.59x = 1,724,838.29
  5. Step 5: Solve for x
    x = 1,724,838.29/1,520.59
  6. Step 6: Final answer
    x = 1,134.32

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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.