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Finding the Fourth Proportional to 2,006.87, 3,010.63 and 619.88

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Solution

The fourth proportional to 2,006.87, 3,010.63 and 619.88 is: 929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.87 : 3,010.63 = 619.88 : x
  2. Step 2: Convert to fraction form
    2,006.87/3,010.63 = 619.88/x
  3. Step 3: Cross multiply
    2,006.87x = 3,010.63 × 619.88
  4. Step 4: Simplify right side
    2,006.87x = 1,866,235.30
  5. Step 5: Solve for x
    x = 1,866,235.30/2,006.87
  6. Step 6: Final answer
    x = 929.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.