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Finding the Fourth Proportional to 2,836.93, 4,255.36 and 988.01

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Solution

The fourth proportional to 2,836.93, 4,255.36 and 988.01 is: 1,482.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.93 : 4,255.36 = 988.01 : x
  2. Step 2: Convert to fraction form
    2,836.93/4,255.36 = 988.01/x
  3. Step 3: Cross multiply
    2,836.93x = 4,255.36 × 988.01
  4. Step 4: Simplify right side
    2,836.93x = 4,204,338.23
  5. Step 5: Solve for x
    x = 4,204,338.23/2,836.93
  6. Step 6: Final answer
    x = 1,482.00

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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.