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Finding the Fourth Proportional to 2,773.23, 3,827.48 and 1,697.12

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Solution

The fourth proportional to 2,773.23, 3,827.48 and 1,697.12 is: 2,342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.23 : 3,827.48 = 1,697.12 : x
  2. Step 2: Convert to fraction form
    2,773.23/3,827.48 = 1,697.12/x
  3. Step 3: Cross multiply
    2,773.23x = 3,827.48 × 1,697.12
  4. Step 4: Simplify right side
    2,773.23x = 6,495,707.67
  5. Step 5: Solve for x
    x = 6,495,707.67/2,773.23
  6. Step 6: Final answer
    x = 2,342.29

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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.