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Finding the Fourth Proportional to 2,006.65, 3,009.97 and 619.98

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Solution

The fourth proportional to 2,006.65, 3,009.97 and 619.98 is: 929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.65 : 3,009.97 = 619.98 : x
  2. Step 2: Convert to fraction form
    2,006.65/3,009.97 = 619.98/x
  3. Step 3: Cross multiply
    2,006.65x = 3,009.97 × 619.98
  4. Step 4: Simplify right side
    2,006.65x = 1,866,117.41
  5. Step 5: Solve for x
    x = 1,866,117.41/2,006.65
  6. Step 6: Final answer
    x = 929.97

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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.