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Finding the Fourth Proportional to 2,992.84, 4,488.74 and 801.06

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Solution

The fourth proportional to 2,992.84, 4,488.74 and 801.06 is: 1,201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.84 : 4,488.74 = 801.06 : x
  2. Step 2: Convert to fraction form
    2,992.84/4,488.74 = 801.06/x
  3. Step 3: Cross multiply
    2,992.84x = 4,488.74 × 801.06
  4. Step 4: Simplify right side
    2,992.84x = 3,595,750.06
  5. Step 5: Solve for x
    x = 3,595,750.06/2,992.84
  6. Step 6: Final answer
    x = 1,201.45

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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.