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Finding the Fourth Proportional to 3,002.33, 4,503.50 and 922.35

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Solution

The fourth proportional to 3,002.33, 4,503.50 and 922.35 is: 1,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.33 : 4,503.50 = 922.35 : x
  2. Step 2: Convert to fraction form
    3,002.33/4,503.50 = 922.35/x
  3. Step 3: Cross multiply
    3,002.33x = 4,503.50 × 922.35
  4. Step 4: Simplify right side
    3,002.33x = 4,153,818.96
  5. Step 5: Solve for x
    x = 4,153,818.96/3,002.33
  6. Step 6: Final answer
    x = 1,383.53

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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.