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Finding the Fourth Proportional to 2,218.50, 3,061.94 and 1,287

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Solution

The fourth proportional to 2,218.50, 3,061.94 and 1,287 is: 1,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.50 : 3,061.94 = 1,287 : x
  2. Step 2: Convert to fraction form
    2,218.50/3,061.94 = 1,287/x
  3. Step 3: Cross multiply
    2,218.50x = 3,061.94 × 1,287
  4. Step 4: Simplify right side
    2,218.50x = 3,940,710.35
  5. Step 5: Solve for x
    x = 3,940,710.35/2,218.50
  6. Step 6: Final answer
    x = 1,776.29

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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.