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Finding the Fourth Proportional to 2,824.76, 3,898.18 and 1,565.83

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Solution

The fourth proportional to 2,824.76, 3,898.18 and 1,565.83 is: 2,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.76 : 3,898.18 = 1,565.83 : x
  2. Step 2: Convert to fraction form
    2,824.76/3,898.18 = 1,565.83/x
  3. Step 3: Cross multiply
    2,824.76x = 3,898.18 × 1,565.83
  4. Step 4: Simplify right side
    2,824.76x = 6,103,894.02
  5. Step 5: Solve for x
    x = 6,103,894.02/2,824.76
  6. Step 6: Final answer
    x = 2,160.86

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1.5x scale

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.