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Finding the Fourth Proportional to 1,881.25, 2,820 and 906.82

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Solution

The fourth proportional to 1,881.25, 2,820 and 906.82 is: 1,359.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.25 : 2,820 = 906.82 : x
  2. Step 2: Convert to fraction form
    1,881.25/2,820 = 906.82/x
  3. Step 3: Cross multiply
    1,881.25x = 2,820 × 906.82
  4. Step 4: Simplify right side
    1,881.25x = 2,557,232.40
  5. Step 5: Solve for x
    x = 2,557,232.40/1,881.25
  6. Step 6: Final answer
    x = 1,359.33

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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.