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Finding the Fourth Proportional to 1,544.94, 2,132.05 and 846.31

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Solution

The fourth proportional to 1,544.94, 2,132.05 and 846.31 is: 1,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.94 : 2,132.05 = 846.31 : x
  2. Step 2: Convert to fraction form
    1,544.94/2,132.05 = 846.31/x
  3. Step 3: Cross multiply
    1,544.94x = 2,132.05 × 846.31
  4. Step 4: Simplify right side
    1,544.94x = 1,804,375.24
  5. Step 5: Solve for x
    x = 1,804,375.24/1,544.94
  6. Step 6: Final answer
    x = 1,167.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.