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Finding the Fourth Proportional to 1,691.88, 2,334.72 and 945.84

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Solution

The fourth proportional to 1,691.88, 2,334.72 and 945.84 is: 1,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.88 : 2,334.72 = 945.84 : x
  2. Step 2: Convert to fraction form
    1,691.88/2,334.72 = 945.84/x
  3. Step 3: Cross multiply
    1,691.88x = 2,334.72 × 945.84
  4. Step 4: Simplify right side
    1,691.88x = 2,208,271.56
  5. Step 5: Solve for x
    x = 2,208,271.56/1,691.88
  6. Step 6: Final answer
    x = 1,305.22

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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.