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Finding the Fourth Proportional to 2,506.06, 3,750.66 and 2,287.06

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Solution

The fourth proportional to 2,506.06, 3,750.66 and 2,287.06 is: 3,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.06 : 3,750.66 = 2,287.06 : x
  2. Step 2: Convert to fraction form
    2,506.06/3,750.66 = 2,287.06/x
  3. Step 3: Cross multiply
    2,506.06x = 3,750.66 × 2,287.06
  4. Step 4: Simplify right side
    2,506.06x = 8,577,984.46
  5. Step 5: Solve for x
    x = 8,577,984.46/2,506.06
  6. Step 6: Final answer
    x = 3,422.90

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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.