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Finding the Fourth Proportional to 2,313.56, 3,192.72 and 1,265.65

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Solution

The fourth proportional to 2,313.56, 3,192.72 and 1,265.65 is: 1,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.56 : 3,192.72 = 1,265.65 : x
  2. Step 2: Convert to fraction form
    2,313.56/3,192.72 = 1,265.65/x
  3. Step 3: Cross multiply
    2,313.56x = 3,192.72 × 1,265.65
  4. Step 4: Simplify right side
    2,313.56x = 4,040,853.34
  5. Step 5: Solve for x
    x = 4,040,853.34/2,313.56
  6. Step 6: Final answer
    x = 1,746.59

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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.