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Finding the Fourth Proportional to 2,582.88, 3,874.32 and 1,816.80

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Solution

The fourth proportional to 2,582.88, 3,874.32 and 1,816.80 is: 2,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.88 : 3,874.32 = 1,816.80 : x
  2. Step 2: Convert to fraction form
    2,582.88/3,874.32 = 1,816.80/x
  3. Step 3: Cross multiply
    2,582.88x = 3,874.32 × 1,816.80
  4. Step 4: Simplify right side
    2,582.88x = 7,038,864.58
  5. Step 5: Solve for x
    x = 7,038,864.58/2,582.88
  6. Step 6: Final answer
    x = 2,725.20

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Similar ratio
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1.5x scale

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.