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Finding the Fourth Proportional to 2,165.40, 3,247.86 and 626.40

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Solution

The fourth proportional to 2,165.40, 3,247.86 and 626.40 is: 939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.40 : 3,247.86 = 626.40 : x
  2. Step 2: Convert to fraction form
    2,165.40/3,247.86 = 626.40/x
  3. Step 3: Cross multiply
    2,165.40x = 3,247.86 × 626.40
  4. Step 4: Simplify right side
    2,165.40x = 2,034,459.50
  5. Step 5: Solve for x
    x = 2,034,459.50/2,165.40
  6. Step 6: Final answer
    x = 939.53

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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.