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Finding the Fourth Proportional to 3,074.04, 4,610.38 and 882.28

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Solution

The fourth proportional to 3,074.04, 4,610.38 and 882.28 is: 1,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.04 : 4,610.38 = 882.28 : x
  2. Step 2: Convert to fraction form
    3,074.04/4,610.38 = 882.28/x
  3. Step 3: Cross multiply
    3,074.04x = 4,610.38 × 882.28
  4. Step 4: Simplify right side
    3,074.04x = 4,067,646.07
  5. Step 5: Solve for x
    x = 4,067,646.07/3,074.04
  6. Step 6: Final answer
    x = 1,323.22

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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.