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Finding the Fourth Proportional to 2,748.08, 4,122.53 and 898.74

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Solution

The fourth proportional to 2,748.08, 4,122.53 and 898.74 is: 1,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.08 : 4,122.53 = 898.74 : x
  2. Step 2: Convert to fraction form
    2,748.08/4,122.53 = 898.74/x
  3. Step 3: Cross multiply
    2,748.08x = 4,122.53 × 898.74
  4. Step 4: Simplify right side
    2,748.08x = 3,705,078.12
  5. Step 5: Solve for x
    x = 3,705,078.12/2,748.08
  6. Step 6: Final answer
    x = 1,348.24

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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.