Home / 1,680.08-2,519.40-584.12

Finding the Fourth Proportional to 1,680.08, 2,519.40 and 584.12

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Solution

The fourth proportional to 1,680.08, 2,519.40 and 584.12 is: 875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.08 : 2,519.40 = 584.12 : x
  2. Step 2: Convert to fraction form
    1,680.08/2,519.40 = 584.12/x
  3. Step 3: Cross multiply
    1,680.08x = 2,519.40 × 584.12
  4. Step 4: Simplify right side
    1,680.08x = 1,471,631.93
  5. Step 5: Solve for x
    x = 1,471,631.93/1,680.08
  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.