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Finding the Fourth Proportional to 3,267.84, 4,901.76 and 802.62

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Solution

The fourth proportional to 3,267.84, 4,901.76 and 802.62 is: 1,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.84 : 4,901.76 = 802.62 : x
  2. Step 2: Convert to fraction form
    3,267.84/4,901.76 = 802.62/x
  3. Step 3: Cross multiply
    3,267.84x = 4,901.76 × 802.62
  4. Step 4: Simplify right side
    3,267.84x = 3,934,250.61
  5. Step 5: Solve for x
    x = 3,934,250.61/3,267.84
  6. Step 6: Final answer
    x = 1,203.93

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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.