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Finding the Fourth Proportional to 3,074.02, 4,610.08 and 882.16

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Solution

The fourth proportional to 3,074.02, 4,610.08 and 882.16 is: 1,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.02 : 4,610.08 = 882.16 : x
  2. Step 2: Convert to fraction form
    3,074.02/4,610.08 = 882.16/x
  3. Step 3: Cross multiply
    3,074.02x = 4,610.08 × 882.16
  4. Step 4: Simplify right side
    3,074.02x = 4,066,828.17
  5. Step 5: Solve for x
    x = 4,066,828.17/3,074.02
  6. Step 6: Final answer
    x = 1,322.97

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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.