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Finding the Fourth Proportional to 4,781.34, 7,169.15 and 1,969.35

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Solution

The fourth proportional to 4,781.34, 7,169.15 and 1,969.35 is: 2,952.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.34 : 7,169.15 = 1,969.35 : x
  2. Step 2: Convert to fraction form
    4,781.34/7,169.15 = 1,969.35/x
  3. Step 3: Cross multiply
    4,781.34x = 7,169.15 × 1,969.35
  4. Step 4: Simplify right side
    4,781.34x = 14,118,555.71
  5. Step 5: Solve for x
    x = 14,118,555.71/4,781.34
  6. Step 6: Final answer
    x = 2,952.84

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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.