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Finding the Fourth Proportional to 2,802.97, 4,204.02 and 954.13

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Solution

The fourth proportional to 2,802.97, 4,204.02 and 954.13 is: 1,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.97 : 4,204.02 = 954.13 : x
  2. Step 2: Convert to fraction form
    2,802.97/4,204.02 = 954.13/x
  3. Step 3: Cross multiply
    2,802.97x = 4,204.02 × 954.13
  4. Step 4: Simplify right side
    2,802.97x = 4,011,181.60
  5. Step 5: Solve for x
    x = 4,011,181.60/2,802.97
  6. Step 6: Final answer
    x = 1,431.05

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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.