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Finding the Fourth Proportional to 2,345.44, 3,227.29 and 2,264.64

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Solution

The fourth proportional to 2,345.44, 3,227.29 and 2,264.64 is: 3,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.44 : 3,227.29 = 2,264.64 : x
  2. Step 2: Convert to fraction form
    2,345.44/3,227.29 = 2,264.64/x
  3. Step 3: Cross multiply
    2,345.44x = 3,227.29 × 2,264.64
  4. Step 4: Simplify right side
    2,345.44x = 7,308,638.70
  5. Step 5: Solve for x
    x = 7,308,638.70/2,345.44
  6. Step 6: Final answer
    x = 3,116.11

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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.