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Finding the Fourth Proportional to 1,857.24, 2,784.32 and 979.25

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Solution

The fourth proportional to 1,857.24, 2,784.32 and 979.25 is: 1,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.24 : 2,784.32 = 979.25 : x
  2. Step 2: Convert to fraction form
    1,857.24/2,784.32 = 979.25/x
  3. Step 3: Cross multiply
    1,857.24x = 2,784.32 × 979.25
  4. Step 4: Simplify right side
    1,857.24x = 2,726,526.54
  5. Step 5: Solve for x
    x = 2,726,526.54/1,857.24
  6. Step 6: Final answer
    x = 1,468.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.