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Finding the Fourth Proportional to 2,070.45, 3,105.05 and 683.46

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Solution

The fourth proportional to 2,070.45, 3,105.05 and 683.46 is: 1,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.45 : 3,105.05 = 683.46 : x
  2. Step 2: Convert to fraction form
    2,070.45/3,105.05 = 683.46/x
  3. Step 3: Cross multiply
    2,070.45x = 3,105.05 × 683.46
  4. Step 4: Simplify right side
    2,070.45x = 2,122,177.47
  5. Step 5: Solve for x
    x = 2,122,177.47/2,070.45
  6. Step 6: Final answer
    x = 1,024.98

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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.