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Finding the Fourth Proportional to 2,803.96, 4,206.14 and 954.33

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Solution

The fourth proportional to 2,803.96, 4,206.14 and 954.33 is: 1,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.96 : 4,206.14 = 954.33 : x
  2. Step 2: Convert to fraction form
    2,803.96/4,206.14 = 954.33/x
  3. Step 3: Cross multiply
    2,803.96x = 4,206.14 × 954.33
  4. Step 4: Simplify right side
    2,803.96x = 4,014,045.59
  5. Step 5: Solve for x
    x = 4,014,045.59/2,803.96
  6. Step 6: Final answer
    x = 1,431.56

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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.