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Finding the Fourth Proportional to 2,005.41, 3,008.23 and 909.86

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Solution

The fourth proportional to 2,005.41, 3,008.23 and 909.86 is: 1,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.41 : 3,008.23 = 909.86 : x
  2. Step 2: Convert to fraction form
    2,005.41/3,008.23 = 909.86/x
  3. Step 3: Cross multiply
    2,005.41x = 3,008.23 × 909.86
  4. Step 4: Simplify right side
    2,005.41x = 2,737,068.15
  5. Step 5: Solve for x
    x = 2,737,068.15/2,005.41
  6. Step 6: Final answer
    x = 1,364.84

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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.