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Finding the Fourth Proportional to 2,978.31, 4,110.09 and 1,652.02

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Solution

The fourth proportional to 2,978.31, 4,110.09 and 1,652.02 is: 2,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.31 : 4,110.09 = 1,652.02 : x
  2. Step 2: Convert to fraction form
    2,978.31/4,110.09 = 1,652.02/x
  3. Step 3: Cross multiply
    2,978.31x = 4,110.09 × 1,652.02
  4. Step 4: Simplify right side
    2,978.31x = 6,789,950.88
  5. Step 5: Solve for x
    x = 6,789,950.88/2,978.31
  6. Step 6: Final answer
    x = 2,279.80

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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.