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Finding the Fourth Proportional to 1,548.88, 2,137.45 and 927.88

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Solution

The fourth proportional to 1,548.88, 2,137.45 and 927.88 is: 1,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.88 : 2,137.45 = 927.88 : x
  2. Step 2: Convert to fraction form
    1,548.88/2,137.45 = 927.88/x
  3. Step 3: Cross multiply
    1,548.88x = 2,137.45 × 927.88
  4. Step 4: Simplify right side
    1,548.88x = 1,983,297.11
  5. Step 5: Solve for x
    x = 1,983,297.11/1,548.88
  6. Step 6: Final answer
    x = 1,280.47

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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.