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Finding the Fourth Proportional to 2,993.63, 4,490.13 and 802.58

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Solution

The fourth proportional to 2,993.63, 4,490.13 and 802.58 is: 1,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.63 : 4,490.13 = 802.58 : x
  2. Step 2: Convert to fraction form
    2,993.63/4,490.13 = 802.58/x
  3. Step 3: Cross multiply
    2,993.63x = 4,490.13 × 802.58
  4. Step 4: Simplify right side
    2,993.63x = 3,603,688.54
  5. Step 5: Solve for x
    x = 3,603,688.54/2,993.63
  6. Step 6: Final answer
    x = 1,203.79

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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.