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Finding the Fourth Proportional to 1,346.15, 2,009.41 and 1,182.13

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Solution

The fourth proportional to 1,346.15, 2,009.41 and 1,182.13 is: 1,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.15 : 2,009.41 = 1,182.13 : x
  2. Step 2: Convert to fraction form
    1,346.15/2,009.41 = 1,182.13/x
  3. Step 3: Cross multiply
    1,346.15x = 2,009.41 × 1,182.13
  4. Step 4: Simplify right side
    1,346.15x = 2,375,375.86
  5. Step 5: Solve for x
    x = 2,375,375.86/1,346.15
  6. Step 6: Final answer
    x = 1,764.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.