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Finding the Fourth Proportional to 1,881.15, 2,821.10 and 906.63

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Solution

The fourth proportional to 1,881.15, 2,821.10 and 906.63 is: 1,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.15 : 2,821.10 = 906.63 : x
  2. Step 2: Convert to fraction form
    1,881.15/2,821.10 = 906.63/x
  3. Step 3: Cross multiply
    1,881.15x = 2,821.10 × 906.63
  4. Step 4: Simplify right side
    1,881.15x = 2,557,689.36
  5. Step 5: Solve for x
    x = 2,557,689.36/1,881.15
  6. Step 6: Final answer
    x = 1,359.64

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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.