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Finding the Fourth Proportional to 1,952.01, 2,927.97 and 718.93

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Solution

The fourth proportional to 1,952.01, 2,927.97 and 718.93 is: 1,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.01 : 2,927.97 = 718.93 : x
  2. Step 2: Convert to fraction form
    1,952.01/2,927.97 = 718.93/x
  3. Step 3: Cross multiply
    1,952.01x = 2,927.97 × 718.93
  4. Step 4: Simplify right side
    1,952.01x = 2,105,005.47
  5. Step 5: Solve for x
    x = 2,105,005.47/1,952.01
  6. Step 6: Final answer
    x = 1,078.38

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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.