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Finding the Fourth Proportional to 2,006.07, 3,007.98 and 619.01

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Solution

The fourth proportional to 2,006.07, 3,007.98 and 619.01 is: 928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.07 : 3,007.98 = 619.01 : x
  2. Step 2: Convert to fraction form
    2,006.07/3,007.98 = 619.01/x
  3. Step 3: Cross multiply
    2,006.07x = 3,007.98 × 619.01
  4. Step 4: Simplify right side
    2,006.07x = 1,861,962.18
  5. Step 5: Solve for x
    x = 1,861,962.18/2,006.07
  6. Step 6: Final answer
    x = 928.17

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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.