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Finding the Fourth Proportional to 4,694, 7,041.10 and 1,773.68

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Solution

The fourth proportional to 4,694, 7,041.10 and 1,773.68 is: 2,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694 : 7,041.10 = 1,773.68 : x
  2. Step 2: Convert to fraction form
    4,694/7,041.10 = 1,773.68/x
  3. Step 3: Cross multiply
    4,694x = 7,041.10 × 1,773.68
  4. Step 4: Simplify right side
    4,694x = 12,488,658.25
  5. Step 5: Solve for x
    x = 12,488,658.25/4,694
  6. Step 6: Final answer
    x = 2,660.56

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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.