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Finding the Fourth Proportional to 1,697.40, 2,549.70 and 1,636.20

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Solution

The fourth proportional to 1,697.40, 2,549.70 and 1,636.20 is: 2,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.40 : 2,549.70 = 1,636.20 : x
  2. Step 2: Convert to fraction form
    1,697.40/2,549.70 = 1,636.20/x
  3. Step 3: Cross multiply
    1,697.40x = 2,549.70 × 1,636.20
  4. Step 4: Simplify right side
    1,697.40x = 4,171,819.14
  5. Step 5: Solve for x
    x = 4,171,819.14/1,697.40
  6. Step 6: Final answer
    x = 2,457.77

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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.