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Finding the Fourth Proportional to 1,486.08, 2,050.84 and 896.60

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Solution

The fourth proportional to 1,486.08, 2,050.84 and 896.60 is: 1,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.08 : 2,050.84 = 896.60 : x
  2. Step 2: Convert to fraction form
    1,486.08/2,050.84 = 896.60/x
  3. Step 3: Cross multiply
    1,486.08x = 2,050.84 × 896.60
  4. Step 4: Simplify right side
    1,486.08x = 1,838,783.14
  5. Step 5: Solve for x
    x = 1,838,783.14/1,486.08
  6. Step 6: Final answer
    x = 1,237.34

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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.