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Finding the Fourth Proportional to 1,951.58, 2,926.76 and 652.76

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Solution

The fourth proportional to 1,951.58, 2,926.76 and 652.76 is: 978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.58 : 2,926.76 = 652.76 : x
  2. Step 2: Convert to fraction form
    1,951.58/2,926.76 = 652.76/x
  3. Step 3: Cross multiply
    1,951.58x = 2,926.76 × 652.76
  4. Step 4: Simplify right side
    1,951.58x = 1,910,471.86
  5. Step 5: Solve for x
    x = 1,910,471.86/1,951.58
  6. Step 6: Final answer
    x = 978.94

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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.