Home / 2,582.84-3,874.76-1,102.04

Finding the Fourth Proportional to 2,582.84, 3,874.76 and 1,102.04

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Solution

The fourth proportional to 2,582.84, 3,874.76 and 1,102.04 is: 1,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.84 : 3,874.76 = 1,102.04 : x
  2. Step 2: Convert to fraction form
    2,582.84/3,874.76 = 1,102.04/x
  3. Step 3: Cross multiply
    2,582.84x = 3,874.76 × 1,102.04
  4. Step 4: Simplify right side
    2,582.84x = 4,270,152.95
  5. Step 5: Solve for x
    x = 4,270,152.95/2,582.84
  6. Step 6: Final answer
    x = 1,653.28

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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.