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Finding the Fourth Proportional to 2,004.36, 3,006.66 and 909.30

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Solution

The fourth proportional to 2,004.36, 3,006.66 and 909.30 is: 1,364.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.36 : 3,006.66 = 909.30 : x
  2. Step 2: Convert to fraction form
    2,004.36/3,006.66 = 909.30/x
  3. Step 3: Cross multiply
    2,004.36x = 3,006.66 × 909.30
  4. Step 4: Simplify right side
    2,004.36x = 2,733,955.94
  5. Step 5: Solve for x
    x = 2,733,955.94/2,004.36
  6. Step 6: Final answer
    x = 1,364.00

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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.