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Finding the Fourth Proportional to 2,266.64, 3,127.96 and 1,322.47

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Solution

The fourth proportional to 2,266.64, 3,127.96 and 1,322.47 is: 1,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.64 : 3,127.96 = 1,322.47 : x
  2. Step 2: Convert to fraction form
    2,266.64/3,127.96 = 1,322.47/x
  3. Step 3: Cross multiply
    2,266.64x = 3,127.96 × 1,322.47
  4. Step 4: Simplify right side
    2,266.64x = 4,136,633.26
  5. Step 5: Solve for x
    x = 4,136,633.26/2,266.64
  6. Step 6: Final answer
    x = 1,825.01

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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.