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Finding the Fourth Proportional to 1,548.90, 2,137.62 and 885.84

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Solution

The fourth proportional to 1,548.90, 2,137.62 and 885.84 is: 1,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.90 : 2,137.62 = 885.84 : x
  2. Step 2: Convert to fraction form
    1,548.90/2,137.62 = 885.84/x
  3. Step 3: Cross multiply
    1,548.90x = 2,137.62 × 885.84
  4. Step 4: Simplify right side
    1,548.90x = 1,893,589.30
  5. Step 5: Solve for x
    x = 1,893,589.30/1,548.90
  6. Step 6: Final answer
    x = 1,222.54

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1.5x scale

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.