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Finding the Fourth Proportional to 2,475.96, 3,717.64 and 2,143.43

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Solution

The fourth proportional to 2,475.96, 3,717.64 and 2,143.43 is: 3,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.96 : 3,717.64 = 2,143.43 : x
  2. Step 2: Convert to fraction form
    2,475.96/3,717.64 = 2,143.43/x
  3. Step 3: Cross multiply
    2,475.96x = 3,717.64 × 2,143.43
  4. Step 4: Simplify right side
    2,475.96x = 7,968,501.11
  5. Step 5: Solve for x
    x = 7,968,501.11/2,475.96
  6. Step 6: Final answer
    x = 3,218.35

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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.