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Finding the Fourth Proportional to 2,117.96, 3,174.26 and 1,076.40

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Solution

The fourth proportional to 2,117.96, 3,174.26 and 1,076.40 is: 1,613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.96 : 3,174.26 = 1,076.40 : x
  2. Step 2: Convert to fraction form
    2,117.96/3,174.26 = 1,076.40/x
  3. Step 3: Cross multiply
    2,117.96x = 3,174.26 × 1,076.40
  4. Step 4: Simplify right side
    2,117.96x = 3,416,773.46
  5. Step 5: Solve for x
    x = 3,416,773.46/2,117.96
  6. Step 6: Final answer
    x = 1,613.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.