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Finding the Fourth Proportional to 1,904.64, 2,856.73 and 517.89

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Solution

The fourth proportional to 1,904.64, 2,856.73 and 517.89 is: 776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.64 : 2,856.73 = 517.89 : x
  2. Step 2: Convert to fraction form
    1,904.64/2,856.73 = 517.89/x
  3. Step 3: Cross multiply
    1,904.64x = 2,856.73 × 517.89
  4. Step 4: Simplify right side
    1,904.64x = 1,479,469.31
  5. Step 5: Solve for x
    x = 1,479,469.31/1,904.64
  6. Step 6: Final answer
    x = 776.77

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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.