Home / 1,584.04-2,375.19-488.10

Finding the Fourth Proportional to 1,584.04, 2,375.19 and 488.10

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Solution

The fourth proportional to 1,584.04, 2,375.19 and 488.10 is: 731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.04 : 2,375.19 = 488.10 : x
  2. Step 2: Convert to fraction form
    1,584.04/2,375.19 = 488.10/x
  3. Step 3: Cross multiply
    1,584.04x = 2,375.19 × 488.10
  4. Step 4: Simplify right side
    1,584.04x = 1,159,330.24
  5. Step 5: Solve for x
    x = 1,159,330.24/1,584.04
  6. Step 6: Final answer
    x = 731.88

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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.