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Finding the Fourth Proportional to 2,875.45, 3,969.56 and 1,882.25

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Solution

The fourth proportional to 2,875.45, 3,969.56 and 1,882.25 is: 2,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.45 : 3,969.56 = 1,882.25 : x
  2. Step 2: Convert to fraction form
    2,875.45/3,969.56 = 1,882.25/x
  3. Step 3: Cross multiply
    2,875.45x = 3,969.56 × 1,882.25
  4. Step 4: Simplify right side
    2,875.45x = 7,471,675.05
  5. Step 5: Solve for x
    x = 7,471,675.05/2,875.45
  6. Step 6: Final answer
    x = 2,598.44

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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.