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Finding the Fourth Proportional to 2,165.52, 3,248.49 and 605.53

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Solution

The fourth proportional to 2,165.52, 3,248.49 and 605.53 is: 908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.52 : 3,248.49 = 605.53 : x
  2. Step 2: Convert to fraction form
    2,165.52/3,248.49 = 605.53/x
  3. Step 3: Cross multiply
    2,165.52x = 3,248.49 × 605.53
  4. Step 4: Simplify right side
    2,165.52x = 1,967,041.45
  5. Step 5: Solve for x
    x = 1,967,041.45/2,165.52
  6. Step 6: Final answer
    x = 908.35

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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.