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Finding the Fourth Proportional to 2,006.64, 3,010.33 and 619.71

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Solution

The fourth proportional to 2,006.64, 3,010.33 and 619.71 is: 929.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.64 : 3,010.33 = 619.71 : x
  2. Step 2: Convert to fraction form
    2,006.64/3,010.33 = 619.71/x
  3. Step 3: Cross multiply
    2,006.64x = 3,010.33 × 619.71
  4. Step 4: Simplify right side
    2,006.64x = 1,865,531.60
  5. Step 5: Solve for x
    x = 1,865,531.60/2,006.64
  6. Step 6: Final answer
    x = 929.68

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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.