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Finding the Fourth Proportional to 2,462.52, 3,396.35 and 1,578.40

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Solution

The fourth proportional to 2,462.52, 3,396.35 and 1,578.40 is: 2,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.52 : 3,396.35 = 1,578.40 : x
  2. Step 2: Convert to fraction form
    2,462.52/3,396.35 = 1,578.40/x
  3. Step 3: Cross multiply
    2,462.52x = 3,396.35 × 1,578.40
  4. Step 4: Simplify right side
    2,462.52x = 5,360,804.52
  5. Step 5: Solve for x
    x = 5,360,804.52/2,462.52
  6. Step 6: Final answer
    x = 2,176.96

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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.