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Finding the Fourth Proportional to 3,301.34, 4,951.96 and 802.55

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Solution

The fourth proportional to 3,301.34, 4,951.96 and 802.55 is: 1,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.34 : 4,951.96 = 802.55 : x
  2. Step 2: Convert to fraction form
    3,301.34/4,951.96 = 802.55/x
  3. Step 3: Cross multiply
    3,301.34x = 4,951.96 × 802.55
  4. Step 4: Simplify right side
    3,301.34x = 3,974,195.50
  5. Step 5: Solve for x
    x = 3,974,195.50/3,301.34
  6. Step 6: Final answer
    x = 1,203.81

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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.