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Finding the Fourth Proportional to 1,286, 1,918.90 and 1,207.64

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Solution

The fourth proportional to 1,286, 1,918.90 and 1,207.64 is: 1,801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286 : 1,918.90 = 1,207.64 : x
  2. Step 2: Convert to fraction form
    1,286/1,918.90 = 1,207.64/x
  3. Step 3: Cross multiply
    1,286x = 1,918.90 × 1,207.64
  4. Step 4: Simplify right side
    1,286x = 2,317,340.40
  5. Step 5: Solve for x
    x = 2,317,340.40/1,286
  6. Step 6: Final answer
    x = 1,801.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.