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Finding the Fourth Proportional to 2,978.31, 4,110.00 and 1,702.25

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Solution

The fourth proportional to 2,978.31, 4,110.00 and 1,702.25 is: 2,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.31 : 4,110.00 = 1,702.25 : x
  2. Step 2: Convert to fraction form
    2,978.31/4,110.00 = 1,702.25/x
  3. Step 3: Cross multiply
    2,978.31x = 4,110.00 × 1,702.25
  4. Step 4: Simplify right side
    2,978.31x = 6,996,218.44
  5. Step 5: Solve for x
    x = 6,996,218.44/2,978.31
  6. Step 6: Final answer
    x = 2,349.06

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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.