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Finding the Fourth Proportional to 3,267.29, 4,900.97 and 802.16

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Solution

The fourth proportional to 3,267.29, 4,900.97 and 802.16 is: 1,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.29 : 4,900.97 = 802.16 : x
  2. Step 2: Convert to fraction form
    3,267.29/4,900.97 = 802.16/x
  3. Step 3: Cross multiply
    3,267.29x = 4,900.97 × 802.16
  4. Step 4: Simplify right side
    3,267.29x = 3,931,376.35
  5. Step 5: Solve for x
    x = 3,931,376.35/3,267.29
  6. Step 6: Final answer
    x = 1,203.25

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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.