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Finding the Fourth Proportional to 2,188.46, 3,282.34 and 802.45

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Solution

The fourth proportional to 2,188.46, 3,282.34 and 802.45 is: 1,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.46 : 3,282.34 = 802.45 : x
  2. Step 2: Convert to fraction form
    2,188.46/3,282.34 = 802.45/x
  3. Step 3: Cross multiply
    2,188.46x = 3,282.34 × 802.45
  4. Step 4: Simplify right side
    2,188.46x = 2,633,913.73
  5. Step 5: Solve for x
    x = 2,633,913.73/2,188.46
  6. Step 6: Final answer
    x = 1,203.55

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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.