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Finding the Fourth Proportional to 2,394.01, 3,589.59 and 931.46

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Solution

The fourth proportional to 2,394.01, 3,589.59 and 931.46 is: 1,396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.01 : 3,589.59 = 931.46 : x
  2. Step 2: Convert to fraction form
    2,394.01/3,589.59 = 931.46/x
  3. Step 3: Cross multiply
    2,394.01x = 3,589.59 × 931.46
  4. Step 4: Simplify right side
    2,394.01x = 3,343,541.55
  5. Step 5: Solve for x
    x = 3,343,541.55/2,394.01
  6. Step 6: Final answer
    x = 1,396.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.