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Finding the Fourth Proportional to 1,807.82, 2,494.76 and 1,276.14

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Solution

The fourth proportional to 1,807.82, 2,494.76 and 1,276.14 is: 1,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.82 : 2,494.76 = 1,276.14 : x
  2. Step 2: Convert to fraction form
    1,807.82/2,494.76 = 1,276.14/x
  3. Step 3: Cross multiply
    1,807.82x = 2,494.76 × 1,276.14
  4. Step 4: Simplify right side
    1,807.82x = 3,183,663.03
  5. Step 5: Solve for x
    x = 3,183,663.03/1,807.82
  6. Step 6: Final answer
    x = 1,761.05

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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.