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Finding the Fourth Proportional to 2,988.94, 4,121.64 and 2,046.10

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Solution

The fourth proportional to 2,988.94, 4,121.64 and 2,046.10 is: 2,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.94 : 4,121.64 = 2,046.10 : x
  2. Step 2: Convert to fraction form
    2,988.94/4,121.64 = 2,046.10/x
  3. Step 3: Cross multiply
    2,988.94x = 4,121.64 × 2,046.10
  4. Step 4: Simplify right side
    2,988.94x = 8,433,287.60
  5. Step 5: Solve for x
    x = 8,433,287.60/2,988.94
  6. Step 6: Final answer
    x = 2,821.50

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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.