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Finding the Fourth Proportional to 2,443.50, 3,372.07 and 1,746.06

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Solution

The fourth proportional to 2,443.50, 3,372.07 and 1,746.06 is: 2,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.50 : 3,372.07 = 1,746.06 : x
  2. Step 2: Convert to fraction form
    2,443.50/3,372.07 = 1,746.06/x
  3. Step 3: Cross multiply
    2,443.50x = 3,372.07 × 1,746.06
  4. Step 4: Simplify right side
    2,443.50x = 5,887,836.54
  5. Step 5: Solve for x
    x = 5,887,836.54/2,443.50
  6. Step 6: Final answer
    x = 2,409.59

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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.