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Finding the Fourth Proportional to 3,130.96, 4,319.21 and 2,069.14

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Solution

The fourth proportional to 3,130.96, 4,319.21 and 2,069.14 is: 2,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.96 : 4,319.21 = 2,069.14 : x
  2. Step 2: Convert to fraction form
    3,130.96/4,319.21 = 2,069.14/x
  3. Step 3: Cross multiply
    3,130.96x = 4,319.21 × 2,069.14
  4. Step 4: Simplify right side
    3,130.96x = 8,937,044.55
  5. Step 5: Solve for x
    x = 8,937,044.55/3,130.96
  6. Step 6: Final answer
    x = 2,854.41

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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.