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Finding the Fourth Proportional to 3,174.66, 4,376.94 and 2,053.62

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Solution

The fourth proportional to 3,174.66, 4,376.94 and 2,053.62 is: 2,831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.66 : 4,376.94 = 2,053.62 : x
  2. Step 2: Convert to fraction form
    3,174.66/4,376.94 = 2,053.62/x
  3. Step 3: Cross multiply
    3,174.66x = 4,376.94 × 2,053.62
  4. Step 4: Simplify right side
    3,174.66x = 8,988,571.52
  5. Step 5: Solve for x
    x = 8,988,571.52/3,174.66
  6. Step 6: Final answer
    x = 2,831.35

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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.