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Finding the Fourth Proportional to 2,424.74, 3,637.71 and 944.06

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Solution

The fourth proportional to 2,424.74, 3,637.71 and 944.06 is: 1,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.74 : 3,637.71 = 944.06 : x
  2. Step 2: Convert to fraction form
    2,424.74/3,637.71 = 944.06/x
  3. Step 3: Cross multiply
    2,424.74x = 3,637.71 × 944.06
  4. Step 4: Simplify right side
    2,424.74x = 3,434,198.31
  5. Step 5: Solve for x
    x = 3,434,198.31/2,424.74
  6. Step 6: Final answer
    x = 1,416.32

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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.