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Finding the Fourth Proportional to 2,339.53, 3,507.77 and 1,642.32

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Solution

The fourth proportional to 2,339.53, 3,507.77 and 1,642.32 is: 2,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.53 : 3,507.77 = 1,642.32 : x
  2. Step 2: Convert to fraction form
    2,339.53/3,507.77 = 1,642.32/x
  3. Step 3: Cross multiply
    2,339.53x = 3,507.77 × 1,642.32
  4. Step 4: Simplify right side
    2,339.53x = 5,760,884.93
  5. Step 5: Solve for x
    x = 5,760,884.93/2,339.53
  6. Step 6: Final answer
    x = 2,462.41

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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.