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Finding the Fourth Proportional to 1,386.82, 1,914.08 and 890.09

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Solution

The fourth proportional to 1,386.82, 1,914.08 and 890.09 is: 1,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.82 : 1,914.08 = 890.09 : x
  2. Step 2: Convert to fraction form
    1,386.82/1,914.08 = 890.09/x
  3. Step 3: Cross multiply
    1,386.82x = 1,914.08 × 890.09
  4. Step 4: Simplify right side
    1,386.82x = 1,703,701.63
  5. Step 5: Solve for x
    x = 1,703,701.63/1,386.82
  6. Step 6: Final answer
    x = 1,228.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.