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Finding the Fourth Proportional to 2,290.36, 3,160.58 and 1,295.58

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Solution

The fourth proportional to 2,290.36, 3,160.58 and 1,295.58 is: 1,787.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.36 : 3,160.58 = 1,295.58 : x
  2. Step 2: Convert to fraction form
    2,290.36/3,160.58 = 1,295.58/x
  3. Step 3: Cross multiply
    2,290.36x = 3,160.58 × 1,295.58
  4. Step 4: Simplify right side
    2,290.36x = 4,094,784.24
  5. Step 5: Solve for x
    x = 4,094,784.24/2,290.36
  6. Step 6: Final answer
    x = 1,787.83

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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.