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Finding the Fourth Proportional to 2,010.83, 2,773.58 and 1,637.82

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Solution

The fourth proportional to 2,010.83, 2,773.58 and 1,637.82 is: 2,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.83 : 2,773.58 = 1,637.82 : x
  2. Step 2: Convert to fraction form
    2,010.83/2,773.58 = 1,637.82/x
  3. Step 3: Cross multiply
    2,010.83x = 2,773.58 × 1,637.82
  4. Step 4: Simplify right side
    2,010.83x = 4,542,616.61
  5. Step 5: Solve for x
    x = 4,542,616.61/2,010.83
  6. Step 6: Final answer
    x = 2,259.08

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