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Finding the Fourth Proportional to 2,468.48, 3,406.46 and 1,630.58

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Solution

The fourth proportional to 2,468.48, 3,406.46 and 1,630.58 is: 2,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.48 : 3,406.46 = 1,630.58 : x
  2. Step 2: Convert to fraction form
    2,468.48/3,406.46 = 1,630.58/x
  3. Step 3: Cross multiply
    2,468.48x = 3,406.46 × 1,630.58
  4. Step 4: Simplify right side
    2,468.48x = 5,554,480.36
  5. Step 5: Solve for x
    x = 5,554,480.36/2,468.48
  6. Step 6: Final answer
    x = 2,250.17

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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.