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Finding the Fourth Proportional to 2,314.16, 3,192.17 and 1,683.84

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Solution

The fourth proportional to 2,314.16, 3,192.17 and 1,683.84 is: 2,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.16 : 3,192.17 = 1,683.84 : x
  2. Step 2: Convert to fraction form
    2,314.16/3,192.17 = 1,683.84/x
  3. Step 3: Cross multiply
    2,314.16x = 3,192.17 × 1,683.84
  4. Step 4: Simplify right side
    2,314.16x = 5,375,095.11
  5. Step 5: Solve for x
    x = 5,375,095.11/2,314.16
  6. Step 6: Final answer
    x = 2,322.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.