Home / 1,582.28-2,373.21-486.55

Finding the Fourth Proportional to 1,582.28, 2,373.21 and 486.55

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Solution

The fourth proportional to 1,582.28, 2,373.21 and 486.55 is: 729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.28 : 2,373.21 = 486.55 : x
  2. Step 2: Convert to fraction form
    1,582.28/2,373.21 = 486.55/x
  3. Step 3: Cross multiply
    1,582.28x = 2,373.21 × 486.55
  4. Step 4: Simplify right side
    1,582.28x = 1,154,685.33
  5. Step 5: Solve for x
    x = 1,154,685.33/1,582.28
  6. Step 6: Final answer
    x = 729.76

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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.