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Finding the Fourth Proportional to 2,232.17, 3,345.17 and 1,610.93

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Solution

The fourth proportional to 2,232.17, 3,345.17 and 1,610.93 is: 2,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.17 : 3,345.17 = 1,610.93 : x
  2. Step 2: Convert to fraction form
    2,232.17/3,345.17 = 1,610.93/x
  3. Step 3: Cross multiply
    2,232.17x = 3,345.17 × 1,610.93
  4. Step 4: Simplify right side
    2,232.17x = 5,388,809.93
  5. Step 5: Solve for x
    x = 5,388,809.93/2,232.17
  6. Step 6: Final answer
    x = 2,414.16

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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.