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Finding the Fourth Proportional to 1,748.96, 2,621.60 and 775.74

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Solution

The fourth proportional to 1,748.96, 2,621.60 and 775.74 is: 1,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.96 : 2,621.60 = 775.74 : x
  2. Step 2: Convert to fraction form
    1,748.96/2,621.60 = 775.74/x
  3. Step 3: Cross multiply
    1,748.96x = 2,621.60 × 775.74
  4. Step 4: Simplify right side
    1,748.96x = 2,033,679.98
  5. Step 5: Solve for x
    x = 2,033,679.98/1,748.96
  6. Step 6: Final answer
    x = 1,162.79

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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.