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Finding the Fourth Proportional to 2,748.26, 4,122.48 and 899.48

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Solution

The fourth proportional to 2,748.26, 4,122.48 and 899.48 is: 1,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.26 : 4,122.48 = 899.48 : x
  2. Step 2: Convert to fraction form
    2,748.26/4,122.48 = 899.48/x
  3. Step 3: Cross multiply
    2,748.26x = 4,122.48 × 899.48
  4. Step 4: Simplify right side
    2,748.26x = 3,708,088.31
  5. Step 5: Solve for x
    x = 3,708,088.31/2,748.26
  6. Step 6: Final answer
    x = 1,349.25

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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.