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Finding the Fourth Proportional to 2,988.90, 4,482.99 and 797.78

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Solution

The fourth proportional to 2,988.90, 4,482.99 and 797.78 is: 1,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.90 : 4,482.99 = 797.78 : x
  2. Step 2: Convert to fraction form
    2,988.90/4,482.99 = 797.78/x
  3. Step 3: Cross multiply
    2,988.90x = 4,482.99 × 797.78
  4. Step 4: Simplify right side
    2,988.90x = 3,576,450.97
  5. Step 5: Solve for x
    x = 3,576,450.97/2,988.90
  6. Step 6: Final answer
    x = 1,196.58

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Why These Related Problems?

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