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Finding the Fourth Proportional to 2,904.78, 4,357.17 and 1,749.90

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Solution

The fourth proportional to 2,904.78, 4,357.17 and 1,749.90 is: 2,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.78 : 4,357.17 = 1,749.90 : x
  2. Step 2: Convert to fraction form
    2,904.78/4,357.17 = 1,749.90/x
  3. Step 3: Cross multiply
    2,904.78x = 4,357.17 × 1,749.90
  4. Step 4: Simplify right side
    2,904.78x = 7,624,611.78
  5. Step 5: Solve for x
    x = 7,624,611.78/2,904.78
  6. Step 6: Final answer
    x = 2,624.85

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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.