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Finding the Fourth Proportional to 1,951.40, 2,926.66 and 564.72

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Solution

The fourth proportional to 1,951.40, 2,926.66 and 564.72 is: 846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.40 : 2,926.66 = 564.72 : x
  2. Step 2: Convert to fraction form
    1,951.40/2,926.66 = 564.72/x
  3. Step 3: Cross multiply
    1,951.40x = 2,926.66 × 564.72
  4. Step 4: Simplify right side
    1,951.40x = 1,652,743.44
  5. Step 5: Solve for x
    x = 1,652,743.44/1,951.40
  6. Step 6: Final answer
    x = 846.95

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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.