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Finding the Fourth Proportional to 2,993.38, 4,490.38 and 802.33

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Solution

The fourth proportional to 2,993.38, 4,490.38 and 802.33 is: 1,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.38 : 4,490.38 = 802.33 : x
  2. Step 2: Convert to fraction form
    2,993.38/4,490.38 = 802.33/x
  3. Step 3: Cross multiply
    2,993.38x = 4,490.38 × 802.33
  4. Step 4: Simplify right side
    2,993.38x = 3,602,775.81
  5. Step 5: Solve for x
    x = 3,602,775.81/2,993.38
  6. Step 6: Final answer
    x = 1,203.58

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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.