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Finding the Fourth Proportional to 3,057.96, 4,587.12 and 977.81

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Solution

The fourth proportional to 3,057.96, 4,587.12 and 977.81 is: 1,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.96 : 4,587.12 = 977.81 : x
  2. Step 2: Convert to fraction form
    3,057.96/4,587.12 = 977.81/x
  3. Step 3: Cross multiply
    3,057.96x = 4,587.12 × 977.81
  4. Step 4: Simplify right side
    3,057.96x = 4,485,308.87
  5. Step 5: Solve for x
    x = 4,485,308.87/3,057.96
  6. Step 6: Final answer
    x = 1,466.76

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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.