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Finding the Fourth Proportional to 2,278.35, 3,417.80 and 817.11

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Solution

The fourth proportional to 2,278.35, 3,417.80 and 817.11 is: 1,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.35 : 3,417.80 = 817.11 : x
  2. Step 2: Convert to fraction form
    2,278.35/3,417.80 = 817.11/x
  3. Step 3: Cross multiply
    2,278.35x = 3,417.80 × 817.11
  4. Step 4: Simplify right side
    2,278.35x = 2,792,714.47
  5. Step 5: Solve for x
    x = 2,792,714.47/2,278.35
  6. Step 6: Final answer
    x = 1,225.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.