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Finding the Fourth Proportional to 2,807.38, 4,211.07 and 1,507.06

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Solution

The fourth proportional to 2,807.38, 4,211.07 and 1,507.06 is: 2,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.38 : 4,211.07 = 1,507.06 : x
  2. Step 2: Convert to fraction form
    2,807.38/4,211.07 = 1,507.06/x
  3. Step 3: Cross multiply
    2,807.38x = 4,211.07 × 1,507.06
  4. Step 4: Simplify right side
    2,807.38x = 6,346,335.15
  5. Step 5: Solve for x
    x = 6,346,335.15/2,807.38
  6. Step 6: Final answer
    x = 2,260.59

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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.