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Finding the Fourth Proportional to 2,323.98, 3,207.08 and 1,276.02

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Solution

The fourth proportional to 2,323.98, 3,207.08 and 1,276.02 is: 1,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.98 : 3,207.08 = 1,276.02 : x
  2. Step 2: Convert to fraction form
    2,323.98/3,207.08 = 1,276.02/x
  3. Step 3: Cross multiply
    2,323.98x = 3,207.08 × 1,276.02
  4. Step 4: Simplify right side
    2,323.98x = 4,092,301.41
  5. Step 5: Solve for x
    x = 4,092,301.41/2,323.98
  6. Step 6: Final answer
    x = 1,760.90

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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.