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Finding the Fourth Proportional to 2,266.58, 3,127.20 and 1,381.45

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Solution

The fourth proportional to 2,266.58, 3,127.20 and 1,381.45 is: 1,905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.58 : 3,127.20 = 1,381.45 : x
  2. Step 2: Convert to fraction form
    2,266.58/3,127.20 = 1,381.45/x
  3. Step 3: Cross multiply
    2,266.58x = 3,127.20 × 1,381.45
  4. Step 4: Simplify right side
    2,266.58x = 4,320,070.44
  5. Step 5: Solve for x
    x = 4,320,070.44/2,266.58
  6. Step 6: Final answer
    x = 1,905.99

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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.