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Finding the Fourth Proportional to 1,346.18, 2,019.13 and 845.87

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Solution

The fourth proportional to 1,346.18, 2,019.13 and 845.87 is: 1,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.18 : 2,019.13 = 845.87 : x
  2. Step 2: Convert to fraction form
    1,346.18/2,019.13 = 845.87/x
  3. Step 3: Cross multiply
    1,346.18x = 2,019.13 × 845.87
  4. Step 4: Simplify right side
    1,346.18x = 1,707,909.28
  5. Step 5: Solve for x
    x = 1,707,909.28/1,346.18
  6. Step 6: Final answer
    x = 1,268.71

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