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Finding the Fourth Proportional to 2,994.67, 4,132.54 and 1,668.31

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Solution

The fourth proportional to 2,994.67, 4,132.54 and 1,668.31 is: 2,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.67 : 4,132.54 = 1,668.31 : x
  2. Step 2: Convert to fraction form
    2,994.67/4,132.54 = 1,668.31/x
  3. Step 3: Cross multiply
    2,994.67x = 4,132.54 × 1,668.31
  4. Step 4: Simplify right side
    2,994.67x = 6,894,328.80
  5. Step 5: Solve for x
    x = 6,894,328.80/2,994.67
  6. Step 6: Final answer
    x = 2,302.20

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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.