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Finding the Fourth Proportional to 1,544.51, 2,311.37 and 959.15

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Solution

The fourth proportional to 1,544.51, 2,311.37 and 959.15 is: 1,435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.51 : 2,311.37 = 959.15 : x
  2. Step 2: Convert to fraction form
    1,544.51/2,311.37 = 959.15/x
  3. Step 3: Cross multiply
    1,544.51x = 2,311.37 × 959.15
  4. Step 4: Simplify right side
    1,544.51x = 2,216,945.74
  5. Step 5: Solve for x
    x = 2,216,945.74/1,544.51
  6. Step 6: Final answer
    x = 1,435.37

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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.