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Finding the Fourth Proportional to 1,952.98, 2,926.38 and 718.69

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Solution

The fourth proportional to 1,952.98, 2,926.38 and 718.69 is: 1,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.98 : 2,926.38 = 718.69 : x
  2. Step 2: Convert to fraction form
    1,952.98/2,926.38 = 718.69/x
  3. Step 3: Cross multiply
    1,952.98x = 2,926.38 × 718.69
  4. Step 4: Simplify right side
    1,952.98x = 2,103,145.41
  5. Step 5: Solve for x
    x = 2,103,145.41/1,952.98
  6. Step 6: Final answer
    x = 1,076.89

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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.