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Finding the Fourth Proportional to 2,266.47, 3,127.74 and 1,322.92

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Solution

The fourth proportional to 2,266.47, 3,127.74 and 1,322.92 is: 1,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.47 : 3,127.74 = 1,322.92 : x
  2. Step 2: Convert to fraction form
    2,266.47/3,127.74 = 1,322.92/x
  3. Step 3: Cross multiply
    2,266.47x = 3,127.74 × 1,322.92
  4. Step 4: Simplify right side
    2,266.47x = 4,137,749.80
  5. Step 5: Solve for x
    x = 4,137,749.80/2,266.47
  6. Step 6: Final answer
    x = 1,825.64

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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.