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Finding the Fourth Proportional to 3,188.99, 4,783.47 and 1,214.16

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Solution

The fourth proportional to 3,188.99, 4,783.47 and 1,214.16 is: 1,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.99 : 4,783.47 = 1,214.16 : x
  2. Step 2: Convert to fraction form
    3,188.99/4,783.47 = 1,214.16/x
  3. Step 3: Cross multiply
    3,188.99x = 4,783.47 × 1,214.16
  4. Step 4: Simplify right side
    3,188.99x = 5,807,875.44
  5. Step 5: Solve for x
    x = 5,807,875.44/3,188.99
  6. Step 6: Final answer
    x = 1,821.23

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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.