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Finding the Fourth Proportional to 3,070.70, 4,606.96 and 1,609.66

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Solution

The fourth proportional to 3,070.70, 4,606.96 and 1,609.66 is: 2,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.70 : 4,606.96 = 1,609.66 : x
  2. Step 2: Convert to fraction form
    3,070.70/4,606.96 = 1,609.66/x
  3. Step 3: Cross multiply
    3,070.70x = 4,606.96 × 1,609.66
  4. Step 4: Simplify right side
    3,070.70x = 7,415,639.23
  5. Step 5: Solve for x
    x = 7,415,639.23/3,070.70
  6. Step 6: Final answer
    x = 2,414.97

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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.