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Finding the Fourth Proportional to 2,290.49, 3,160.44 and 1,295.51

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Solution

The fourth proportional to 2,290.49, 3,160.44 and 1,295.51 is: 1,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.49 : 3,160.44 = 1,295.51 : x
  2. Step 2: Convert to fraction form
    2,290.49/3,160.44 = 1,295.51/x
  3. Step 3: Cross multiply
    2,290.49x = 3,160.44 × 1,295.51
  4. Step 4: Simplify right side
    2,290.49x = 4,094,365.82
  5. Step 5: Solve for x
    x = 4,094,365.82/2,290.49
  6. Step 6: Final answer
    x = 1,787.55

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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.