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Finding the Fourth Proportional to 1,978.02, 2,731.02 and 1,233.12

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Solution

The fourth proportional to 1,978.02, 2,731.02 and 1,233.12 is: 1,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.02 : 2,731.02 = 1,233.12 : x
  2. Step 2: Convert to fraction form
    1,978.02/2,731.02 = 1,233.12/x
  3. Step 3: Cross multiply
    1,978.02x = 2,731.02 × 1,233.12
  4. Step 4: Simplify right side
    1,978.02x = 3,367,675.38
  5. Step 5: Solve for x
    x = 3,367,675.38/1,978.02
  6. Step 6: Final answer
    x = 1,702.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.