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Finding the Fourth Proportional to 1,486.01, 2,050.83 and 896.54

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Solution

The fourth proportional to 1,486.01, 2,050.83 and 896.54 is: 1,237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.01 : 2,050.83 = 896.54 : x
  2. Step 2: Convert to fraction form
    1,486.01/2,050.83 = 896.54/x
  3. Step 3: Cross multiply
    1,486.01x = 2,050.83 × 896.54
  4. Step 4: Simplify right side
    1,486.01x = 1,838,640.87
  5. Step 5: Solve for x
    x = 1,838,640.87/1,486.01
  6. Step 6: Final answer
    x = 1,237.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.