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Finding the Fourth Proportional to 2,283.84, 3,151.64 and 1,289.09

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Solution

The fourth proportional to 2,283.84, 3,151.64 and 1,289.09 is: 1,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.84 : 3,151.64 = 1,289.09 : x
  2. Step 2: Convert to fraction form
    2,283.84/3,151.64 = 1,289.09/x
  3. Step 3: Cross multiply
    2,283.84x = 3,151.64 × 1,289.09
  4. Step 4: Simplify right side
    2,283.84x = 4,062,758.71
  5. Step 5: Solve for x
    x = 4,062,758.71/2,283.84
  6. Step 6: Final answer
    x = 1,778.92

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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.