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Finding the Fourth Proportional to 3,069.57, 4,605.26 and 1,427.10

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Solution

The fourth proportional to 3,069.57, 4,605.26 and 1,427.10 is: 2,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.57 : 4,605.26 = 1,427.10 : x
  2. Step 2: Convert to fraction form
    3,069.57/4,605.26 = 1,427.10/x
  3. Step 3: Cross multiply
    3,069.57x = 4,605.26 × 1,427.10
  4. Step 4: Simplify right side
    3,069.57x = 6,572,166.55
  5. Step 5: Solve for x
    x = 6,572,166.55/3,069.57
  6. Step 6: Final answer
    x = 2,141.07

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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.