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Finding the Fourth Proportional to 1,304.92, 1,810.57 and 1,293.76

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Solution

The fourth proportional to 1,304.92, 1,810.57 and 1,293.76 is: 1,795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.92 : 1,810.57 = 1,293.76 : x
  2. Step 2: Convert to fraction form
    1,304.92/1,810.57 = 1,293.76/x
  3. Step 3: Cross multiply
    1,304.92x = 1,810.57 × 1,293.76
  4. Step 4: Simplify right side
    1,304.92x = 2,342,443.04
  5. Step 5: Solve for x
    x = 2,342,443.04/1,304.92
  6. Step 6: Final answer
    x = 1,795.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.