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Finding the Fourth Proportional to 2,798.32, 3,859.56 and 2,207.68

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Solution

The fourth proportional to 2,798.32, 3,859.56 and 2,207.68 is: 3,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.32 : 3,859.56 = 2,207.68 : x
  2. Step 2: Convert to fraction form
    2,798.32/3,859.56 = 2,207.68/x
  3. Step 3: Cross multiply
    2,798.32x = 3,859.56 × 2,207.68
  4. Step 4: Simplify right side
    2,798.32x = 8,520,673.42
  5. Step 5: Solve for x
    x = 8,520,673.42/2,798.32
  6. Step 6: Final answer
    x = 3,044.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.