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Finding the Fourth Proportional to 2,330.02, 3,220.04 and 1,909.70

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Solution

The fourth proportional to 2,330.02, 3,220.04 and 1,909.70 is: 2,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.02 : 3,220.04 = 1,909.70 : x
  2. Step 2: Convert to fraction form
    2,330.02/3,220.04 = 1,909.70/x
  3. Step 3: Cross multiply
    2,330.02x = 3,220.04 × 1,909.70
  4. Step 4: Simplify right side
    2,330.02x = 6,149,310.39
  5. Step 5: Solve for x
    x = 6,149,310.39/2,330.02
  6. Step 6: Final answer
    x = 2,639.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.