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Finding the Fourth Proportional to 3,400.65, 4,692.62 and 2,056.76

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Solution

The fourth proportional to 3,400.65, 4,692.62 and 2,056.76 is: 2,838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.65 : 4,692.62 = 2,056.76 : x
  2. Step 2: Convert to fraction form
    3,400.65/4,692.62 = 2,056.76/x
  3. Step 3: Cross multiply
    3,400.65x = 4,692.62 × 2,056.76
  4. Step 4: Simplify right side
    3,400.65x = 9,651,559.36
  5. Step 5: Solve for x
    x = 9,651,559.36/3,400.65
  6. Step 6: Final answer
    x = 2,838.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.