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Finding the Fourth Proportional to 2,057.06, 2,837.49 and 1,260.02

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Solution

The fourth proportional to 2,057.06, 2,837.49 and 1,260.02 is: 1,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.06 : 2,837.49 = 1,260.02 : x
  2. Step 2: Convert to fraction form
    2,057.06/2,837.49 = 1,260.02/x
  3. Step 3: Cross multiply
    2,057.06x = 2,837.49 × 1,260.02
  4. Step 4: Simplify right side
    2,057.06x = 3,575,294.15
  5. Step 5: Solve for x
    x = 3,575,294.15/2,057.06
  6. Step 6: Final answer
    x = 1,738.06

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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.