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Finding the Fourth Proportional to 1,683.11, 2,523.67 and 695.16

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Solution

The fourth proportional to 1,683.11, 2,523.67 and 695.16 is: 1,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.11 : 2,523.67 = 695.16 : x
  2. Step 2: Convert to fraction form
    1,683.11/2,523.67 = 695.16/x
  3. Step 3: Cross multiply
    1,683.11x = 2,523.67 × 695.16
  4. Step 4: Simplify right side
    1,683.11x = 1,754,352.70
  5. Step 5: Solve for x
    x = 1,754,352.70/1,683.11
  6. Step 6: Final answer
    x = 1,042.33

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Why These Related Problems?

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