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Finding the Fourth Proportional to 2,352.68, 3,529.54 and 891.84

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Solution

The fourth proportional to 2,352.68, 3,529.54 and 891.84 is: 1,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.68 : 3,529.54 = 891.84 : x
  2. Step 2: Convert to fraction form
    2,352.68/3,529.54 = 891.84/x
  3. Step 3: Cross multiply
    2,352.68x = 3,529.54 × 891.84
  4. Step 4: Simplify right side
    2,352.68x = 3,147,799.30
  5. Step 5: Solve for x
    x = 3,147,799.30/2,352.68
  6. Step 6: Final answer
    x = 1,337.96

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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.