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Finding the Fourth Proportional to 2,083.96, 2,877.42 and 1,461.88

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Solution

The fourth proportional to 2,083.96, 2,877.42 and 1,461.88 is: 2,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.96 : 2,877.42 = 1,461.88 : x
  2. Step 2: Convert to fraction form
    2,083.96/2,877.42 = 1,461.88/x
  3. Step 3: Cross multiply
    2,083.96x = 2,877.42 × 1,461.88
  4. Step 4: Simplify right side
    2,083.96x = 4,206,442.75
  5. Step 5: Solve for x
    x = 4,206,442.75/2,083.96
  6. Step 6: Final answer
    x = 2,018.49

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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.