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Finding the Fourth Proportional to 2,083.95, 2,876.47 and 1,245.24

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Solution

The fourth proportional to 2,083.95, 2,876.47 and 1,245.24 is: 1,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.95 : 2,876.47 = 1,245.24 : x
  2. Step 2: Convert to fraction form
    2,083.95/2,876.47 = 1,245.24/x
  3. Step 3: Cross multiply
    2,083.95x = 2,876.47 × 1,245.24
  4. Step 4: Simplify right side
    2,083.95x = 3,581,895.50
  5. Step 5: Solve for x
    x = 3,581,895.50/2,083.95
  6. Step 6: Final answer
    x = 1,718.80

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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.