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Finding the Fourth Proportional to 1,684.08, 2,326.11 and 1,188.93

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Solution

The fourth proportional to 1,684.08, 2,326.11 and 1,188.93 is: 1,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.08 : 2,326.11 = 1,188.93 : x
  2. Step 2: Convert to fraction form
    1,684.08/2,326.11 = 1,188.93/x
  3. Step 3: Cross multiply
    1,684.08x = 2,326.11 × 1,188.93
  4. Step 4: Simplify right side
    1,684.08x = 2,765,581.96
  5. Step 5: Solve for x
    x = 2,765,581.96/1,684.08
  6. Step 6: Final answer
    x = 1,642.19

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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.