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Finding the Fourth Proportional to 1,807.42, 2,708.96 and 651.82

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Solution

The fourth proportional to 1,807.42, 2,708.96 and 651.82 is: 976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.42 : 2,708.96 = 651.82 : x
  2. Step 2: Convert to fraction form
    1,807.42/2,708.96 = 651.82/x
  3. Step 3: Cross multiply
    1,807.42x = 2,708.96 × 651.82
  4. Step 4: Simplify right side
    1,807.42x = 1,765,754.31
  5. Step 5: Solve for x
    x = 1,765,754.31/1,807.42
  6. Step 6: Final answer
    x = 976.95

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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.