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Finding the Fourth Proportional to 1,926.95, 2,890.35 and 610.70

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Solution

The fourth proportional to 1,926.95, 2,890.35 and 610.70 is: 916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.95 : 2,890.35 = 610.70 : x
  2. Step 2: Convert to fraction form
    1,926.95/2,890.35 = 610.70/x
  3. Step 3: Cross multiply
    1,926.95x = 2,890.35 × 610.70
  4. Step 4: Simplify right side
    1,926.95x = 1,765,122.29
  5. Step 5: Solve for x
    x = 1,765,122.29/1,926.95
  6. Step 6: Final answer
    x = 916.02

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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.