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Finding the Fourth Proportional to 2,904.07, 4,355.02 and 955.75

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Solution

The fourth proportional to 2,904.07, 4,355.02 and 955.75 is: 1,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.07 : 4,355.02 = 955.75 : x
  2. Step 2: Convert to fraction form
    2,904.07/4,355.02 = 955.75/x
  3. Step 3: Cross multiply
    2,904.07x = 4,355.02 × 955.75
  4. Step 4: Simplify right side
    2,904.07x = 4,162,310.37
  5. Step 5: Solve for x
    x = 4,162,310.37/2,904.07
  6. Step 6: Final answer
    x = 1,433.27

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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.