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Finding the Fourth Proportional to 1,544.86, 2,131.92 and 846.24

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Solution

The fourth proportional to 1,544.86, 2,131.92 and 846.24 is: 1,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.86 : 2,131.92 = 846.24 : x
  2. Step 2: Convert to fraction form
    1,544.86/2,131.92 = 846.24/x
  3. Step 3: Cross multiply
    1,544.86x = 2,131.92 × 846.24
  4. Step 4: Simplify right side
    1,544.86x = 1,804,115.98
  5. Step 5: Solve for x
    x = 1,804,115.98/1,544.86
  6. Step 6: Final answer
    x = 1,167.82

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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.