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Finding the Fourth Proportional to 2,882.02, 3,975.06 and 1,937.50

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Solution

The fourth proportional to 2,882.02, 3,975.06 and 1,937.50 is: 2,672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.02 : 3,975.06 = 1,937.50 : x
  2. Step 2: Convert to fraction form
    2,882.02/3,975.06 = 1,937.50/x
  3. Step 3: Cross multiply
    2,882.02x = 3,975.06 × 1,937.50
  4. Step 4: Simplify right side
    2,882.02x = 7,701,678.75
  5. Step 5: Solve for x
    x = 7,701,678.75/2,882.02
  6. Step 6: Final answer
    x = 2,672.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.