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Finding the Fourth Proportional to 3,494.79, 5,235.08 and 1,734.50

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Solution

The fourth proportional to 3,494.79, 5,235.08 and 1,734.50 is: 2,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.79 : 5,235.08 = 1,734.50 : x
  2. Step 2: Convert to fraction form
    3,494.79/5,235.08 = 1,734.50/x
  3. Step 3: Cross multiply
    3,494.79x = 5,235.08 × 1,734.50
  4. Step 4: Simplify right side
    3,494.79x = 9,080,250.68
  5. Step 5: Solve for x
    x = 9,080,250.68/3,494.79
  6. Step 6: Final answer
    x = 2,598.22

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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.