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Finding the Fourth Proportional to 3,143.61, 4,713.53 and 1,683.99

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Solution

The fourth proportional to 3,143.61, 4,713.53 and 1,683.99 is: 2,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.61 : 4,713.53 = 1,683.99 : x
  2. Step 2: Convert to fraction form
    3,143.61/4,713.53 = 1,683.99/x
  3. Step 3: Cross multiply
    3,143.61x = 4,713.53 × 1,683.99
  4. Step 4: Simplify right side
    3,143.61x = 7,937,528.96
  5. Step 5: Solve for x
    x = 7,937,528.96/3,143.61
  6. Step 6: Final answer
    x = 2,524.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.