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Finding the Fourth Proportional to 2,203.40, 3,039.11 and 1,416.70

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Solution

The fourth proportional to 2,203.40, 3,039.11 and 1,416.70 is: 1,954.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.40 : 3,039.11 = 1,416.70 : x
  2. Step 2: Convert to fraction form
    2,203.40/3,039.11 = 1,416.70/x
  3. Step 3: Cross multiply
    2,203.40x = 3,039.11 × 1,416.70
  4. Step 4: Simplify right side
    2,203.40x = 4,305,484.86
  5. Step 5: Solve for x
    x = 4,305,484.86/2,203.40
  6. Step 6: Final answer
    x = 1,954.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.