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Finding the Fourth Proportional to 1,904.04, 2,853 and 1,414.62

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Solution

The fourth proportional to 1,904.04, 2,853 and 1,414.62 is: 2,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.04 : 2,853 = 1,414.62 : x
  2. Step 2: Convert to fraction form
    1,904.04/2,853 = 1,414.62/x
  3. Step 3: Cross multiply
    1,904.04x = 2,853 × 1,414.62
  4. Step 4: Simplify right side
    1,904.04x = 4,035,910.86
  5. Step 5: Solve for x
    x = 4,035,910.86/1,904.04
  6. Step 6: Final answer
    x = 2,119.66

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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.