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Finding the Fourth Proportional to 2,509.95, 3,461.82 and 2,226.75

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Solution

The fourth proportional to 2,509.95, 3,461.82 and 2,226.75 is: 3,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.95 : 3,461.82 = 2,226.75 : x
  2. Step 2: Convert to fraction form
    2,509.95/3,461.82 = 2,226.75/x
  3. Step 3: Cross multiply
    2,509.95x = 3,461.82 × 2,226.75
  4. Step 4: Simplify right side
    2,509.95x = 7,708,607.69
  5. Step 5: Solve for x
    x = 7,708,607.69/2,509.95
  6. Step 6: Final answer
    x = 3,071.22

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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.