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Finding the Fourth Proportional to 2,473.02, 3,709.67 and 829.42

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Solution

The fourth proportional to 2,473.02, 3,709.67 and 829.42 is: 1,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.02 : 3,709.67 = 829.42 : x
  2. Step 2: Convert to fraction form
    2,473.02/3,709.67 = 829.42/x
  3. Step 3: Cross multiply
    2,473.02x = 3,709.67 × 829.42
  4. Step 4: Simplify right side
    2,473.02x = 3,076,870.34
  5. Step 5: Solve for x
    x = 3,076,870.34/2,473.02
  6. Step 6: Final answer
    x = 1,244.18

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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.