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Finding the Fourth Proportional to 2,619.34, 3,926.52 and 974.76

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Solution

The fourth proportional to 2,619.34, 3,926.52 and 974.76 is: 1,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.34 : 3,926.52 = 974.76 : x
  2. Step 2: Convert to fraction form
    2,619.34/3,926.52 = 974.76/x
  3. Step 3: Cross multiply
    2,619.34x = 3,926.52 × 974.76
  4. Step 4: Simplify right side
    2,619.34x = 3,827,414.64
  5. Step 5: Solve for x
    x = 3,827,414.64/2,619.34
  6. Step 6: Final answer
    x = 1,461.21

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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.