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Finding the Fourth Proportional to 2,618.01, 3,926.71 and 974.37

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Solution

The fourth proportional to 2,618.01, 3,926.71 and 974.37 is: 1,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.01 : 3,926.71 = 974.37 : x
  2. Step 2: Convert to fraction form
    2,618.01/3,926.71 = 974.37/x
  3. Step 3: Cross multiply
    2,618.01x = 3,926.71 × 974.37
  4. Step 4: Simplify right side
    2,618.01x = 3,826,084.37
  5. Step 5: Solve for x
    x = 3,826,084.37/2,618.01
  6. Step 6: Final answer
    x = 1,461.45

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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.