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Finding the Fourth Proportional to 2,909.85, 4,364.82 and 2,762.16

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Solution

The fourth proportional to 2,909.85, 4,364.82 and 2,762.16 is: 4,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.85 : 4,364.82 = 2,762.16 : x
  2. Step 2: Convert to fraction form
    2,909.85/4,364.82 = 2,762.16/x
  3. Step 3: Cross multiply
    2,909.85x = 4,364.82 × 2,762.16
  4. Step 4: Simplify right side
    2,909.85x = 12,056,331.21
  5. Step 5: Solve for x
    x = 12,056,331.21/2,909.85
  6. Step 6: Final answer
    x = 4,143.28

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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.