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Finding the Fourth Proportional to 2,283.66, 3,151.50 and 1,288.94

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Solution

The fourth proportional to 2,283.66, 3,151.50 and 1,288.94 is: 1,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.66 : 3,151.50 = 1,288.94 : x
  2. Step 2: Convert to fraction form
    2,283.66/3,151.50 = 1,288.94/x
  3. Step 3: Cross multiply
    2,283.66x = 3,151.50 × 1,288.94
  4. Step 4: Simplify right side
    2,283.66x = 4,062,094.41
  5. Step 5: Solve for x
    x = 4,062,094.41/2,283.66
  6. Step 6: Final answer
    x = 1,778.76

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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.