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Finding the Fourth Proportional to 2,646.25, 3,643.50 and 2,247.07

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Solution

The fourth proportional to 2,646.25, 3,643.50 and 2,247.07 is: 3,093.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.25 : 3,643.50 = 2,247.07 : x
  2. Step 2: Convert to fraction form
    2,646.25/3,643.50 = 2,247.07/x
  3. Step 3: Cross multiply
    2,646.25x = 3,643.50 × 2,247.07
  4. Step 4: Simplify right side
    2,646.25x = 8,187,199.55
  5. Step 5: Solve for x
    x = 8,187,199.55/2,646.25
  6. Step 6: Final answer
    x = 3,093.89

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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.