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Finding the Fourth Proportional to 2,684.53, 3,703.08 and 1,688.23

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Solution

The fourth proportional to 2,684.53, 3,703.08 and 1,688.23 is: 2,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.53 : 3,703.08 = 1,688.23 : x
  2. Step 2: Convert to fraction form
    2,684.53/3,703.08 = 1,688.23/x
  3. Step 3: Cross multiply
    2,684.53x = 3,703.08 × 1,688.23
  4. Step 4: Simplify right side
    2,684.53x = 6,251,650.75
  5. Step 5: Solve for x
    x = 6,251,650.75/2,684.53
  6. Step 6: Final answer
    x = 2,328.77

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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.