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Finding the Fourth Proportional to 1,406.39, 1,926.75 and 1,353.83

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Solution

The fourth proportional to 1,406.39, 1,926.75 and 1,353.83 is: 1,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.39 : 1,926.75 = 1,353.83 : x
  2. Step 2: Convert to fraction form
    1,406.39/1,926.75 = 1,353.83/x
  3. Step 3: Cross multiply
    1,406.39x = 1,926.75 × 1,353.83
  4. Step 4: Simplify right side
    1,406.39x = 2,608,479.78
  5. Step 5: Solve for x
    x = 2,608,479.78/1,406.39
  6. Step 6: Final answer
    x = 1,854.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.