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Finding the Fourth Proportional to 2,362.95, 3,542.03 and 802.44

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Solution

The fourth proportional to 2,362.95, 3,542.03 and 802.44 is: 1,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.95 : 3,542.03 = 802.44 : x
  2. Step 2: Convert to fraction form
    2,362.95/3,542.03 = 802.44/x
  3. Step 3: Cross multiply
    2,362.95x = 3,542.03 × 802.44
  4. Step 4: Simplify right side
    2,362.95x = 2,842,265.55
  5. Step 5: Solve for x
    x = 2,842,265.55/2,362.95
  6. Step 6: Final answer
    x = 1,202.85

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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.