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Finding the Fourth Proportional to 2,060.18, 2,842.02 and 1,471.07

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Solution

The fourth proportional to 2,060.18, 2,842.02 and 1,471.07 is: 2,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.18 : 2,842.02 = 1,471.07 : x
  2. Step 2: Convert to fraction form
    2,060.18/2,842.02 = 1,471.07/x
  3. Step 3: Cross multiply
    2,060.18x = 2,842.02 × 1,471.07
  4. Step 4: Simplify right side
    2,060.18x = 4,180,796.15
  5. Step 5: Solve for x
    x = 4,180,796.15/2,060.18
  6. Step 6: Final answer
    x = 2,029.34

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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.