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Finding the Fourth Proportional to 2,397.06, 3,309.12 and 1,735.43

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Solution

The fourth proportional to 2,397.06, 3,309.12 and 1,735.43 is: 2,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.06 : 3,309.12 = 1,735.43 : x
  2. Step 2: Convert to fraction form
    2,397.06/3,309.12 = 1,735.43/x
  3. Step 3: Cross multiply
    2,397.06x = 3,309.12 × 1,735.43
  4. Step 4: Simplify right side
    2,397.06x = 5,742,729.58
  5. Step 5: Solve for x
    x = 5,742,729.58/2,397.06
  6. Step 6: Final answer
    x = 2,395.74

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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.