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Finding the Fourth Proportional to 2,809.85, 4,216.08 and 1,349.01

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Solution

The fourth proportional to 2,809.85, 4,216.08 and 1,349.01 is: 2,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.85 : 4,216.08 = 1,349.01 : x
  2. Step 2: Convert to fraction form
    2,809.85/4,216.08 = 1,349.01/x
  3. Step 3: Cross multiply
    2,809.85x = 4,216.08 × 1,349.01
  4. Step 4: Simplify right side
    2,809.85x = 5,687,534.08
  5. Step 5: Solve for x
    x = 5,687,534.08/2,809.85
  6. Step 6: Final answer
    x = 2,024.15

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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.