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Finding the Fourth Proportional to 3,143.69, 4,717.52 and 1,757.93

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Solution

The fourth proportional to 3,143.69, 4,717.52 and 1,757.93 is: 2,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.69 : 4,717.52 = 1,757.93 : x
  2. Step 2: Convert to fraction form
    3,143.69/4,717.52 = 1,757.93/x
  3. Step 3: Cross multiply
    3,143.69x = 4,717.52 × 1,757.93
  4. Step 4: Simplify right side
    3,143.69x = 8,293,061.14
  5. Step 5: Solve for x
    x = 8,293,061.14/3,143.69
  6. Step 6: Final answer
    x = 2,638.00

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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.