Home / 1,680.12-2,519.17-584.19

Finding the Fourth Proportional to 1,680.12, 2,519.17 and 584.19

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Solution

The fourth proportional to 1,680.12, 2,519.17 and 584.19 is: 875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.12 : 2,519.17 = 584.19 : x
  2. Step 2: Convert to fraction form
    1,680.12/2,519.17 = 584.19/x
  3. Step 3: Cross multiply
    1,680.12x = 2,519.17 × 584.19
  4. Step 4: Simplify right side
    1,680.12x = 1,471,672.46
  5. Step 5: Solve for x
    x = 1,471,672.46/1,680.12
  6. Step 6: Final answer
    x = 875.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.