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Finding the Fourth Proportional to 1,610.72, 2,422.02 and 1,552.40

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Solution

The fourth proportional to 1,610.72, 2,422.02 and 1,552.40 is: 2,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.72 : 2,422.02 = 1,552.40 : x
  2. Step 2: Convert to fraction form
    1,610.72/2,422.02 = 1,552.40/x
  3. Step 3: Cross multiply
    1,610.72x = 2,422.02 × 1,552.40
  4. Step 4: Simplify right side
    1,610.72x = 3,759,943.85
  5. Step 5: Solve for x
    x = 3,759,943.85/1,610.72
  6. Step 6: Final answer
    x = 2,334.32

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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.