Home / 1,757.28-2,423.12-1,582.56

Finding the Fourth Proportional to 1,757.28, 2,423.12 and 1,582.56

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Solution

The fourth proportional to 1,757.28, 2,423.12 and 1,582.56 is: 2,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.28 : 2,423.12 = 1,582.56 : x
  2. Step 2: Convert to fraction form
    1,757.28/2,423.12 = 1,582.56/x
  3. Step 3: Cross multiply
    1,757.28x = 2,423.12 × 1,582.56
  4. Step 4: Simplify right side
    1,757.28x = 3,834,732.79
  5. Step 5: Solve for x
    x = 3,834,732.79/1,757.28
  6. Step 6: Final answer
    x = 2,182.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.