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Finding the Fourth Proportional to 2,309.34, 3,460.12 and 2,224.02

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Solution

The fourth proportional to 2,309.34, 3,460.12 and 2,224.02 is: 3,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.34 : 3,460.12 = 2,224.02 : x
  2. Step 2: Convert to fraction form
    2,309.34/3,460.12 = 2,224.02/x
  3. Step 3: Cross multiply
    2,309.34x = 3,460.12 × 2,224.02
  4. Step 4: Simplify right side
    2,309.34x = 7,695,376.08
  5. Step 5: Solve for x
    x = 7,695,376.08/2,309.34
  6. Step 6: Final answer
    x = 3,332.28

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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.