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Finding the Fourth Proportional to 2,394.08, 3,585.90 and 1,296.12

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Solution

The fourth proportional to 2,394.08, 3,585.90 and 1,296.12 is: 1,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.08 : 3,585.90 = 1,296.12 : x
  2. Step 2: Convert to fraction form
    2,394.08/3,585.90 = 1,296.12/x
  3. Step 3: Cross multiply
    2,394.08x = 3,585.90 × 1,296.12
  4. Step 4: Simplify right side
    2,394.08x = 4,647,756.71
  5. Step 5: Solve for x
    x = 4,647,756.71/2,394.08
  6. Step 6: Final answer
    x = 1,941.35

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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.