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Finding the Fourth Proportional to 2,854.62, 4,281.94 and 802.62

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Solution

The fourth proportional to 2,854.62, 4,281.94 and 802.62 is: 1,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.62 : 4,281.94 = 802.62 : x
  2. Step 2: Convert to fraction form
    2,854.62/4,281.94 = 802.62/x
  3. Step 3: Cross multiply
    2,854.62x = 4,281.94 × 802.62
  4. Step 4: Simplify right side
    2,854.62x = 3,436,770.68
  5. Step 5: Solve for x
    x = 3,436,770.68/2,854.62
  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.