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Finding the Fourth Proportional to 2,265.81, 3,127.91 and 1,426.92

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Solution

The fourth proportional to 2,265.81, 3,127.91 and 1,426.92 is: 1,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.81 : 3,127.91 = 1,426.92 : x
  2. Step 2: Convert to fraction form
    2,265.81/3,127.91 = 1,426.92/x
  3. Step 3: Cross multiply
    2,265.81x = 3,127.91 × 1,426.92
  4. Step 4: Simplify right side
    2,265.81x = 4,463,277.34
  5. Step 5: Solve for x
    x = 4,463,277.34/2,265.81
  6. Step 6: Final answer
    x = 1,969.84

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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.