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Finding the Fourth Proportional to 3,113.49, 4,669.82 and 922.45

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Solution

The fourth proportional to 3,113.49, 4,669.82 and 922.45 is: 1,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.49 : 4,669.82 = 922.45 : x
  2. Step 2: Convert to fraction form
    3,113.49/4,669.82 = 922.45/x
  3. Step 3: Cross multiply
    3,113.49x = 4,669.82 × 922.45
  4. Step 4: Simplify right side
    3,113.49x = 4,307,670.85
  5. Step 5: Solve for x
    x = 4,307,670.85/3,113.49
  6. Step 6: Final answer
    x = 1,383.55

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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.