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Finding the Fourth Proportional to 1,346.61, 1,857.66 and 1,169.34

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Solution

The fourth proportional to 1,346.61, 1,857.66 and 1,169.34 is: 1,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.61 : 1,857.66 = 1,169.34 : x
  2. Step 2: Convert to fraction form
    1,346.61/1,857.66 = 1,169.34/x
  3. Step 3: Cross multiply
    1,346.61x = 1,857.66 × 1,169.34
  4. Step 4: Simplify right side
    1,346.61x = 2,172,236.14
  5. Step 5: Solve for x
    x = 2,172,236.14/1,346.61
  6. Step 6: Final answer
    x = 1,613.11

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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.