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Finding the Fourth Proportional to 2,468.07, 3,406.23 and 1,630.52

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Solution

The fourth proportional to 2,468.07, 3,406.23 and 1,630.52 is: 2,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.07 : 3,406.23 = 1,630.52 : x
  2. Step 2: Convert to fraction form
    2,468.07/3,406.23 = 1,630.52/x
  3. Step 3: Cross multiply
    2,468.07x = 3,406.23 × 1,630.52
  4. Step 4: Simplify right side
    2,468.07x = 5,553,909.11
  5. Step 5: Solve for x
    x = 5,553,909.11/2,468.07
  6. Step 6: Final answer
    x = 2,250.30

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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.