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Finding the Fourth Proportional to 2,637.14, 3,956.27 and 788.41

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Solution

The fourth proportional to 2,637.14, 3,956.27 and 788.41 is: 1,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.14 : 3,956.27 = 788.41 : x
  2. Step 2: Convert to fraction form
    2,637.14/3,956.27 = 788.41/x
  3. Step 3: Cross multiply
    2,637.14x = 3,956.27 × 788.41
  4. Step 4: Simplify right side
    2,637.14x = 3,119,162.83
  5. Step 5: Solve for x
    x = 3,119,162.83/2,637.14
  6. Step 6: Final answer
    x = 1,182.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.