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Finding the Fourth Proportional to 2,278.71, 3,416.67 and 1,046.49

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Solution

The fourth proportional to 2,278.71, 3,416.67 and 1,046.49 is: 1,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.71 : 3,416.67 = 1,046.49 : x
  2. Step 2: Convert to fraction form
    2,278.71/3,416.67 = 1,046.49/x
  3. Step 3: Cross multiply
    2,278.71x = 3,416.67 × 1,046.49
  4. Step 4: Simplify right side
    2,278.71x = 3,575,510.99
  5. Step 5: Solve for x
    x = 3,575,510.99/2,278.71
  6. Step 6: Final answer
    x = 1,569.09

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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.