Home / 2,582.77-3,873.81-1,102.18

Finding the Fourth Proportional to 2,582.77, 3,873.81 and 1,102.18

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Solution

The fourth proportional to 2,582.77, 3,873.81 and 1,102.18 is: 1,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.77 : 3,873.81 = 1,102.18 : x
  2. Step 2: Convert to fraction form
    2,582.77/3,873.81 = 1,102.18/x
  3. Step 3: Cross multiply
    2,582.77x = 3,873.81 × 1,102.18
  4. Step 4: Simplify right side
    2,582.77x = 4,269,635.91
  5. Step 5: Solve for x
    x = 4,269,635.91/2,582.77
  6. Step 6: Final answer
    x = 1,653.12

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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.