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Finding the Fourth Proportional to 1,904.16, 2,856.16 and 517.71

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Solution

The fourth proportional to 1,904.16, 2,856.16 and 517.71 is: 776.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.16 : 2,856.16 = 517.71 : x
  2. Step 2: Convert to fraction form
    1,904.16/2,856.16 = 517.71/x
  3. Step 3: Cross multiply
    1,904.16x = 2,856.16 × 517.71
  4. Step 4: Simplify right side
    1,904.16x = 1,478,662.59
  5. Step 5: Solve for x
    x = 1,478,662.59/1,904.16
  6. Step 6: Final answer
    x = 776.54

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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.