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Finding the Fourth Proportional to 2,281.37, 3,420.75 and 721.07

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Solution

The fourth proportional to 2,281.37, 3,420.75 and 721.07 is: 1,081.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.37 : 3,420.75 = 721.07 : x
  2. Step 2: Convert to fraction form
    2,281.37/3,420.75 = 721.07/x
  3. Step 3: Cross multiply
    2,281.37x = 3,420.75 × 721.07
  4. Step 4: Simplify right side
    2,281.37x = 2,466,583.10
  5. Step 5: Solve for x
    x = 2,466,583.10/2,281.37
  6. Step 6: Final answer
    x = 1,081.19

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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.