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Finding the Fourth Proportional to 2,006.71, 3,010.35 and 620.16

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Solution

The fourth proportional to 2,006.71, 3,010.35 and 620.16 is: 930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.71 : 3,010.35 = 620.16 : x
  2. Step 2: Convert to fraction form
    2,006.71/3,010.35 = 620.16/x
  3. Step 3: Cross multiply
    2,006.71x = 3,010.35 × 620.16
  4. Step 4: Simplify right side
    2,006.71x = 1,866,889.69
  5. Step 5: Solve for x
    x = 1,866,889.69/2,006.71
  6. Step 6: Final answer
    x = 930.32

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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.