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Finding the Fourth Proportional to 1,630.80, 2,459.70 and 1,522.80

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Solution

The fourth proportional to 1,630.80, 2,459.70 and 1,522.80 is: 2,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.80 : 2,459.70 = 1,522.80 : x
  2. Step 2: Convert to fraction form
    1,630.80/2,459.70 = 1,522.80/x
  3. Step 3: Cross multiply
    1,630.80x = 2,459.70 × 1,522.80
  4. Step 4: Simplify right side
    1,630.80x = 3,745,631.16
  5. Step 5: Solve for x
    x = 3,745,631.16/1,630.80
  6. Step 6: Final answer
    x = 2,296.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.