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Finding the Fourth Proportional to 2,394.56, 3,301.26 and 1,597.93

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Solution

The fourth proportional to 2,394.56, 3,301.26 and 1,597.93 is: 2,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.56 : 3,301.26 = 1,597.93 : x
  2. Step 2: Convert to fraction form
    2,394.56/3,301.26 = 1,597.93/x
  3. Step 3: Cross multiply
    2,394.56x = 3,301.26 × 1,597.93
  4. Step 4: Simplify right side
    2,394.56x = 5,275,168.15
  5. Step 5: Solve for x
    x = 5,275,168.15/2,394.56
  6. Step 6: Final answer
    x = 2,202.98

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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.