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Finding the Fourth Proportional to 2,208.48, 3,312.02 and 1,167.89

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Solution

The fourth proportional to 2,208.48, 3,312.02 and 1,167.89 is: 1,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.48 : 3,312.02 = 1,167.89 : x
  2. Step 2: Convert to fraction form
    2,208.48/3,312.02 = 1,167.89/x
  3. Step 3: Cross multiply
    2,208.48x = 3,312.02 × 1,167.89
  4. Step 4: Simplify right side
    2,208.48x = 3,868,052.64
  5. Step 5: Solve for x
    x = 3,868,052.64/2,208.48
  6. Step 6: Final answer
    x = 1,751.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.