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Finding the Fourth Proportional to 2,117.32, 3,174.56 and 817.27

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Solution

The fourth proportional to 2,117.32, 3,174.56 and 817.27 is: 1,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.32 : 3,174.56 = 817.27 : x
  2. Step 2: Convert to fraction form
    2,117.32/3,174.56 = 817.27/x
  3. Step 3: Cross multiply
    2,117.32x = 3,174.56 × 817.27
  4. Step 4: Simplify right side
    2,117.32x = 2,594,463.69
  5. Step 5: Solve for x
    x = 2,594,463.69/2,117.32
  6. Step 6: Final answer
    x = 1,225.35

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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.