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Finding the Fourth Proportional to 1,992, 2,987.60 and 693.52

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Solution

The fourth proportional to 1,992, 2,987.60 and 693.52 is: 1,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992 : 2,987.60 = 693.52 : x
  2. Step 2: Convert to fraction form
    1,992/2,987.60 = 693.52/x
  3. Step 3: Cross multiply
    1,992x = 2,987.60 × 693.52
  4. Step 4: Simplify right side
    1,992x = 2,071,960.35
  5. Step 5: Solve for x
    x = 2,071,960.35/1,992
  6. Step 6: Final answer
    x = 1,040.14

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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.