Home / 1,585.20-2,378.10-764.46

Finding the Fourth Proportional to 1,585.20, 2,378.10 and 764.46

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Solution

The fourth proportional to 1,585.20, 2,378.10 and 764.46 is: 1,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.20 : 2,378.10 = 764.46 : x
  2. Step 2: Convert to fraction form
    1,585.20/2,378.10 = 764.46/x
  3. Step 3: Cross multiply
    1,585.20x = 2,378.10 × 764.46
  4. Step 4: Simplify right side
    1,585.20x = 1,817,962.33
  5. Step 5: Solve for x
    x = 1,817,962.33/1,585.20
  6. Step 6: Final answer
    x = 1,146.83

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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.