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Finding the Fourth Proportional to 2,462.48, 3,394.56 and 1,578.08

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Solution

The fourth proportional to 2,462.48, 3,394.56 and 1,578.08 is: 2,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.48 : 3,394.56 = 1,578.08 : x
  2. Step 2: Convert to fraction form
    2,462.48/3,394.56 = 1,578.08/x
  3. Step 3: Cross multiply
    2,462.48x = 3,394.56 × 1,578.08
  4. Step 4: Simplify right side
    2,462.48x = 5,356,887.24
  5. Step 5: Solve for x
    x = 5,356,887.24/2,462.48
  6. Step 6: Final answer
    x = 2,175.40

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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.