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Finding the Fourth Proportional to 1,290.33, 1,927.80 and 1,261.17

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Solution

The fourth proportional to 1,290.33, 1,927.80 and 1,261.17 is: 1,884.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.33 : 1,927.80 = 1,261.17 : x
  2. Step 2: Convert to fraction form
    1,290.33/1,927.80 = 1,261.17/x
  3. Step 3: Cross multiply
    1,290.33x = 1,927.80 × 1,261.17
  4. Step 4: Simplify right side
    1,290.33x = 2,431,283.53
  5. Step 5: Solve for x
    x = 2,431,283.53/1,290.33
  6. Step 6: Final answer
    x = 1,884.23

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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.