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Finding the Fourth Proportional to 2,283.64, 3,151.41 and 1,235.68

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Solution

The fourth proportional to 2,283.64, 3,151.41 and 1,235.68 is: 1,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.64 : 3,151.41 = 1,235.68 : x
  2. Step 2: Convert to fraction form
    2,283.64/3,151.41 = 1,235.68/x
  3. Step 3: Cross multiply
    2,283.64x = 3,151.41 × 1,235.68
  4. Step 4: Simplify right side
    2,283.64x = 3,894,134.31
  5. Step 5: Solve for x
    x = 3,894,134.31/2,283.64
  6. Step 6: Final answer
    x = 1,705.23

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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.