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Finding the Fourth Proportional to 2,137.40, 3,206.10 and 752.30

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Solution

The fourth proportional to 2,137.40, 3,206.10 and 752.30 is: 1,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.40 : 3,206.10 = 752.30 : x
  2. Step 2: Convert to fraction form
    2,137.40/3,206.10 = 752.30/x
  3. Step 3: Cross multiply
    2,137.40x = 3,206.10 × 752.30
  4. Step 4: Simplify right side
    2,137.40x = 2,411,949.03
  5. Step 5: Solve for x
    x = 2,411,949.03/2,137.40
  6. Step 6: Final answer
    x = 1,128.45

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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.