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Finding the Fourth Proportional to 2,709.18, 4,063.77 and 977.81

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Solution

The fourth proportional to 2,709.18, 4,063.77 and 977.81 is: 1,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.18 : 4,063.77 = 977.81 : x
  2. Step 2: Convert to fraction form
    2,709.18/4,063.77 = 977.81/x
  3. Step 3: Cross multiply
    2,709.18x = 4,063.77 × 977.81
  4. Step 4: Simplify right side
    2,709.18x = 3,973,594.94
  5. Step 5: Solve for x
    x = 3,973,594.94/2,709.18
  6. Step 6: Final answer
    x = 1,466.72

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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.