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Finding the Fourth Proportional to 2,443.14, 3,368.25 and 1,743.30

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Solution

The fourth proportional to 2,443.14, 3,368.25 and 1,743.30 is: 2,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.14 : 3,368.25 = 1,743.30 : x
  2. Step 2: Convert to fraction form
    2,443.14/3,368.25 = 1,743.30/x
  3. Step 3: Cross multiply
    2,443.14x = 3,368.25 × 1,743.30
  4. Step 4: Simplify right side
    2,443.14x = 5,871,870.23
  5. Step 5: Solve for x
    x = 5,871,870.23/2,443.14
  6. Step 6: Final answer
    x = 2,403.41

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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.