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Finding the Fourth Proportional to 2,882.26, 3,978.57 and 1,875.34

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Solution

The fourth proportional to 2,882.26, 3,978.57 and 1,875.34 is: 2,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.26 : 3,978.57 = 1,875.34 : x
  2. Step 2: Convert to fraction form
    2,882.26/3,978.57 = 1,875.34/x
  3. Step 3: Cross multiply
    2,882.26x = 3,978.57 × 1,875.34
  4. Step 4: Simplify right side
    2,882.26x = 7,461,171.46
  5. Step 5: Solve for x
    x = 7,461,171.46/2,882.26
  6. Step 6: Final answer
    x = 2,588.65

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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.