Home / 2,582.28-3,564-1,463.28

Finding the Fourth Proportional to 2,582.28, 3,564 and 1,463.28

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Solution

The fourth proportional to 2,582.28, 3,564 and 1,463.28 is: 2,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.28 : 3,564 = 1,463.28 : x
  2. Step 2: Convert to fraction form
    2,582.28/3,564 = 1,463.28/x
  3. Step 3: Cross multiply
    2,582.28x = 3,564 × 1,463.28
  4. Step 4: Simplify right side
    2,582.28x = 5,215,129.92
  5. Step 5: Solve for x
    x = 5,215,129.92/2,582.28
  6. Step 6: Final answer
    x = 2,019.58

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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.