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Finding the Fourth Proportional to 1,504.82, 2,077.17 and 1,155.06

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Solution

The fourth proportional to 1,504.82, 2,077.17 and 1,155.06 is: 1,594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.82 : 2,077.17 = 1,155.06 : x
  2. Step 2: Convert to fraction form
    1,504.82/2,077.17 = 1,155.06/x
  3. Step 3: Cross multiply
    1,504.82x = 2,077.17 × 1,155.06
  4. Step 4: Simplify right side
    1,504.82x = 2,399,255.98
  5. Step 5: Solve for x
    x = 2,399,255.98/1,504.82
  6. Step 6: Final answer
    x = 1,594.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.