Home / 2,582.32-3,563-1,744.58

Finding the Fourth Proportional to 2,582.32, 3,563 and 1,744.58

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Solution

The fourth proportional to 2,582.32, 3,563 and 1,744.58 is: 2,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.32 : 3,563 = 1,744.58 : x
  2. Step 2: Convert to fraction form
    2,582.32/3,563 = 1,744.58/x
  3. Step 3: Cross multiply
    2,582.32x = 3,563 × 1,744.58
  4. Step 4: Simplify right side
    2,582.32x = 6,215,938.54
  5. Step 5: Solve for x
    x = 6,215,938.54/2,582.32
  6. Step 6: Final answer
    x = 2,407.11

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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.