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Finding the Fourth Proportional to 2,748.54, 4,122.94 and 899.76

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Solution

The fourth proportional to 2,748.54, 4,122.94 and 899.76 is: 1,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.54 : 4,122.94 = 899.76 : x
  2. Step 2: Convert to fraction form
    2,748.54/4,122.94 = 899.76/x
  3. Step 3: Cross multiply
    2,748.54x = 4,122.94 × 899.76
  4. Step 4: Simplify right side
    2,748.54x = 3,709,656.49
  5. Step 5: Solve for x
    x = 3,709,656.49/2,748.54
  6. Step 6: Final answer
    x = 1,349.68

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1.5x scale

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.