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Finding the Fourth Proportional to 1,544.55, 2,131.11 and 955.41

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Solution

The fourth proportional to 1,544.55, 2,131.11 and 955.41 is: 1,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.55 : 2,131.11 = 955.41 : x
  2. Step 2: Convert to fraction form
    1,544.55/2,131.11 = 955.41/x
  3. Step 3: Cross multiply
    1,544.55x = 2,131.11 × 955.41
  4. Step 4: Simplify right side
    1,544.55x = 2,036,083.81
  5. Step 5: Solve for x
    x = 2,036,083.81/1,544.55
  6. Step 6: Final answer
    x = 1,318.24

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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.