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Finding the Fourth Proportional to 1,903.91, 2,856.15 and 605.25

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Solution

The fourth proportional to 1,903.91, 2,856.15 and 605.25 is: 907.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.91 : 2,856.15 = 605.25 : x
  2. Step 2: Convert to fraction form
    1,903.91/2,856.15 = 605.25/x
  3. Step 3: Cross multiply
    1,903.91x = 2,856.15 × 605.25
  4. Step 4: Simplify right side
    1,903.91x = 1,728,684.79
  5. Step 5: Solve for x
    x = 1,728,684.79/1,903.91
  6. Step 6: Final answer
    x = 907.97

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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.