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Finding the Fourth Proportional to 2,392.62, 3,588.16 and 2,237.14

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Solution

The fourth proportional to 2,392.62, 3,588.16 and 2,237.14 is: 3,354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.62 : 3,588.16 = 2,237.14 : x
  2. Step 2: Convert to fraction form
    2,392.62/3,588.16 = 2,237.14/x
  3. Step 3: Cross multiply
    2,392.62x = 3,588.16 × 2,237.14
  4. Step 4: Simplify right side
    2,392.62x = 8,027,216.26
  5. Step 5: Solve for x
    x = 8,027,216.26/2,392.62
  6. Step 6: Final answer
    x = 3,354.99

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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.