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Finding the Fourth Proportional to 1,807.75, 2,494.71 and 979.75

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Solution

The fourth proportional to 1,807.75, 2,494.71 and 979.75 is: 1,352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.75 : 2,494.71 = 979.75 : x
  2. Step 2: Convert to fraction form
    1,807.75/2,494.71 = 979.75/x
  3. Step 3: Cross multiply
    1,807.75x = 2,494.71 × 979.75
  4. Step 4: Simplify right side
    1,807.75x = 2,444,192.12
  5. Step 5: Solve for x
    x = 2,444,192.12/1,807.75
  6. Step 6: Final answer
    x = 1,352.06

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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.