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Finding the Fourth Proportional to 2,803.84, 4,204.54 and 954.46

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Solution

The fourth proportional to 2,803.84, 4,204.54 and 954.46 is: 1,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.84 : 4,204.54 = 954.46 : x
  2. Step 2: Convert to fraction form
    2,803.84/4,204.54 = 954.46/x
  3. Step 3: Cross multiply
    2,803.84x = 4,204.54 × 954.46
  4. Step 4: Simplify right side
    2,803.84x = 4,013,065.25
  5. Step 5: Solve for x
    x = 4,013,065.25/2,803.84
  6. Step 6: Final answer
    x = 1,431.27

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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.