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Finding the Fourth Proportional to 1,952.58, 2,918.32 and 1,796.91

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Solution

The fourth proportional to 1,952.58, 2,918.32 and 1,796.91 is: 2,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.58 : 2,918.32 = 1,796.91 : x
  2. Step 2: Convert to fraction form
    1,952.58/2,918.32 = 1,796.91/x
  3. Step 3: Cross multiply
    1,952.58x = 2,918.32 × 1,796.91
  4. Step 4: Simplify right side
    1,952.58x = 5,243,953.90
  5. Step 5: Solve for x
    x = 5,243,953.90/1,952.58
  6. Step 6: Final answer
    x = 2,685.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.