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Finding the Fourth Proportional to 1,408.82, 1,926.91 and 1,386.14

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Solution

The fourth proportional to 1,408.82, 1,926.91 and 1,386.14 is: 1,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.82 : 1,926.91 = 1,386.14 : x
  2. Step 2: Convert to fraction form
    1,408.82/1,926.91 = 1,386.14/x
  3. Step 3: Cross multiply
    1,408.82x = 1,926.91 × 1,386.14
  4. Step 4: Simplify right side
    1,408.82x = 2,670,959.13
  5. Step 5: Solve for x
    x = 2,670,959.13/1,408.82
  6. Step 6: Final answer
    x = 1,895.89

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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.