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Finding the Fourth Proportional to 2,807.66, 4,212.68 and 1,507.61

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Solution

The fourth proportional to 2,807.66, 4,212.68 and 1,507.61 is: 2,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.66 : 4,212.68 = 1,507.61 : x
  2. Step 2: Convert to fraction form
    2,807.66/4,212.68 = 1,507.61/x
  3. Step 3: Cross multiply
    2,807.66x = 4,212.68 × 1,507.61
  4. Step 4: Simplify right side
    2,807.66x = 6,351,081.49
  5. Step 5: Solve for x
    x = 6,351,081.49/2,807.66
  6. Step 6: Final answer
    x = 2,262.05

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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.