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Finding the Fourth Proportional to 2,802.93, 4,202.93 and 1,046.48

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Solution

The fourth proportional to 2,802.93, 4,202.93 and 1,046.48 is: 1,569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.93 : 4,202.93 = 1,046.48 : x
  2. Step 2: Convert to fraction form
    2,802.93/4,202.93 = 1,046.48/x
  3. Step 3: Cross multiply
    2,802.93x = 4,202.93 × 1,046.48
  4. Step 4: Simplify right side
    2,802.93x = 4,398,293.36
  5. Step 5: Solve for x
    x = 4,398,293.36/2,802.93
  6. Step 6: Final answer
    x = 1,569.18

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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.