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Finding the Fourth Proportional to 2,924.86, 4,386.77 and 844.37

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Solution

The fourth proportional to 2,924.86, 4,386.77 and 844.37 is: 1,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.86 : 4,386.77 = 844.37 : x
  2. Step 2: Convert to fraction form
    2,924.86/4,386.77 = 844.37/x
  3. Step 3: Cross multiply
    2,924.86x = 4,386.77 × 844.37
  4. Step 4: Simplify right side
    2,924.86x = 3,704,039.30
  5. Step 5: Solve for x
    x = 3,704,039.30/2,924.86
  6. Step 6: Final answer
    x = 1,266.40

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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.