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Finding the Fourth Proportional to 2,963.04, 4,441.12 and 1,988.80

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Solution

The fourth proportional to 2,963.04, 4,441.12 and 1,988.80 is: 2,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.04 : 4,441.12 = 1,988.80 : x
  2. Step 2: Convert to fraction form
    2,963.04/4,441.12 = 1,988.80/x
  3. Step 3: Cross multiply
    2,963.04x = 4,441.12 × 1,988.80
  4. Step 4: Simplify right side
    2,963.04x = 8,832,499.46
  5. Step 5: Solve for x
    x = 8,832,499.46/2,963.04
  6. Step 6: Final answer
    x = 2,980.89

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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.