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Finding the Fourth Proportional to 3,103.82, 4,655.78 and 912.77

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Solution

The fourth proportional to 3,103.82, 4,655.78 and 912.77 is: 1,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.82 : 4,655.78 = 912.77 : x
  2. Step 2: Convert to fraction form
    3,103.82/4,655.78 = 912.77/x
  3. Step 3: Cross multiply
    3,103.82x = 4,655.78 × 912.77
  4. Step 4: Simplify right side
    3,103.82x = 4,249,649.35
  5. Step 5: Solve for x
    x = 4,249,649.35/3,103.82
  6. Step 6: Final answer
    x = 1,369.17

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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.