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Finding the Fourth Proportional to 2,038.34, 3,057.96 and 651.79

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Solution

The fourth proportional to 2,038.34, 3,057.96 and 651.79 is: 977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.34 : 3,057.96 = 651.79 : x
  2. Step 2: Convert to fraction form
    2,038.34/3,057.96 = 651.79/x
  3. Step 3: Cross multiply
    2,038.34x = 3,057.96 × 651.79
  4. Step 4: Simplify right side
    2,038.34x = 1,993,154.02
  5. Step 5: Solve for x
    x = 1,993,154.02/2,038.34
  6. Step 6: Final answer
    x = 977.83

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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.