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Finding the Fourth Proportional to 2,621, 3,617.10 and 1,442.12

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Solution

The fourth proportional to 2,621, 3,617.10 and 1,442.12 is: 1,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621 : 3,617.10 = 1,442.12 : x
  2. Step 2: Convert to fraction form
    2,621/3,617.10 = 1,442.12/x
  3. Step 3: Cross multiply
    2,621x = 3,617.10 × 1,442.12
  4. Step 4: Simplify right side
    2,621x = 5,216,292.25
  5. Step 5: Solve for x
    x = 5,216,292.25/2,621
  6. Step 6: Final answer
    x = 1,990.19

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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.