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Finding the Fourth Proportional to 1,963.75, 2,959.14 and 1,624.72

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Solution

The fourth proportional to 1,963.75, 2,959.14 and 1,624.72 is: 2,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.75 : 2,959.14 = 1,624.72 : x
  2. Step 2: Convert to fraction form
    1,963.75/2,959.14 = 1,624.72/x
  3. Step 3: Cross multiply
    1,963.75x = 2,959.14 × 1,624.72
  4. Step 4: Simplify right side
    1,963.75x = 4,807,773.94
  5. Step 5: Solve for x
    x = 4,807,773.94/1,963.75
  6. Step 6: Final answer
    x = 2,448.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.