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Finding the Fourth Proportional to 2,283.16, 3,151.02 and 1,288.48

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Solution

The fourth proportional to 2,283.16, 3,151.02 and 1,288.48 is: 1,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.16 : 3,151.02 = 1,288.48 : x
  2. Step 2: Convert to fraction form
    2,283.16/3,151.02 = 1,288.48/x
  3. Step 3: Cross multiply
    2,283.16x = 3,151.02 × 1,288.48
  4. Step 4: Simplify right side
    2,283.16x = 4,060,026.25
  5. Step 5: Solve for x
    x = 4,060,026.25/2,283.16
  6. Step 6: Final answer
    x = 1,778.25

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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.