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Finding the Fourth Proportional to 1,972.61, 2,953.86 and 1,914.21

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Solution

The fourth proportional to 1,972.61, 2,953.86 and 1,914.21 is: 2,866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.61 : 2,953.86 = 1,914.21 : x
  2. Step 2: Convert to fraction form
    1,972.61/2,953.86 = 1,914.21/x
  3. Step 3: Cross multiply
    1,972.61x = 2,953.86 × 1,914.21
  4. Step 4: Simplify right side
    1,972.61x = 5,654,308.35
  5. Step 5: Solve for x
    x = 5,654,308.35/1,972.61
  6. Step 6: Final answer
    x = 2,866.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.