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Finding the Fourth Proportional to 2,309.32, 3,182.74 and 1,748.45

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Solution

The fourth proportional to 2,309.32, 3,182.74 and 1,748.45 is: 2,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.32 : 3,182.74 = 1,748.45 : x
  2. Step 2: Convert to fraction form
    2,309.32/3,182.74 = 1,748.45/x
  3. Step 3: Cross multiply
    2,309.32x = 3,182.74 × 1,748.45
  4. Step 4: Simplify right side
    2,309.32x = 5,564,837.10
  5. Step 5: Solve for x
    x = 5,564,837.10/2,309.32
  6. Step 6: Final answer
    x = 2,409.73

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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.