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Finding the Fourth Proportional to 2,085.96, 2,876.58 and 1,757.82

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Solution

The fourth proportional to 2,085.96, 2,876.58 and 1,757.82 is: 2,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.96 : 2,876.58 = 1,757.82 : x
  2. Step 2: Convert to fraction form
    2,085.96/2,876.58 = 1,757.82/x
  3. Step 3: Cross multiply
    2,085.96x = 2,876.58 × 1,757.82
  4. Step 4: Simplify right side
    2,085.96x = 5,056,509.86
  5. Step 5: Solve for x
    x = 5,056,509.86/2,085.96
  6. Step 6: Final answer
    x = 2,424.07

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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.