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Finding the Fourth Proportional to 2,463.76, 3,400.68 and 1,468.72

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Solution

The fourth proportional to 2,463.76, 3,400.68 and 1,468.72 is: 2,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.76 : 3,400.68 = 1,468.72 : x
  2. Step 2: Convert to fraction form
    2,463.76/3,400.68 = 1,468.72/x
  3. Step 3: Cross multiply
    2,463.76x = 3,400.68 × 1,468.72
  4. Step 4: Simplify right side
    2,463.76x = 4,994,646.73
  5. Step 5: Solve for x
    x = 4,994,646.73/2,463.76
  6. Step 6: Final answer
    x = 2,027.25

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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.