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Finding the Fourth Proportional to 2,458.63, 3,392.83 and 1,463.68

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Solution

The fourth proportional to 2,458.63, 3,392.83 and 1,463.68 is: 2,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.63 : 3,392.83 = 1,463.68 : x
  2. Step 2: Convert to fraction form
    2,458.63/3,392.83 = 1,463.68/x
  3. Step 3: Cross multiply
    2,458.63x = 3,392.83 × 1,463.68
  4. Step 4: Simplify right side
    2,458.63x = 4,966,017.41
  5. Step 5: Solve for x
    x = 4,966,017.41/2,458.63
  6. Step 6: Final answer
    x = 2,019.83

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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.