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Finding the Fourth Proportional to 2,357.77, 3,254.03 and 1,426.27

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Solution

The fourth proportional to 2,357.77, 3,254.03 and 1,426.27 is: 1,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.77 : 3,254.03 = 1,426.27 : x
  2. Step 2: Convert to fraction form
    2,357.77/3,254.03 = 1,426.27/x
  3. Step 3: Cross multiply
    2,357.77x = 3,254.03 × 1,426.27
  4. Step 4: Simplify right side
    2,357.77x = 4,641,125.37
  5. Step 5: Solve for x
    x = 4,641,125.37/2,357.77
  6. Step 6: Final answer
    x = 1,968.44

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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.