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Finding the Fourth Proportional to 1,419.84, 2,131.86 and 1,226.36

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Solution

The fourth proportional to 1,419.84, 2,131.86 and 1,226.36 is: 1,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.84 : 2,131.86 = 1,226.36 : x
  2. Step 2: Convert to fraction form
    1,419.84/2,131.86 = 1,226.36/x
  3. Step 3: Cross multiply
    1,419.84x = 2,131.86 × 1,226.36
  4. Step 4: Simplify right side
    1,419.84x = 2,614,427.83
  5. Step 5: Solve for x
    x = 2,614,427.83/1,419.84
  6. Step 6: Final answer
    x = 1,841.35

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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.