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Finding the Fourth Proportional to 2,193.70, 3,029.35 and 1,409.11

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Solution

The fourth proportional to 2,193.70, 3,029.35 and 1,409.11 is: 1,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.70 : 3,029.35 = 1,409.11 : x
  2. Step 2: Convert to fraction form
    2,193.70/3,029.35 = 1,409.11/x
  3. Step 3: Cross multiply
    2,193.70x = 3,029.35 × 1,409.11
  4. Step 4: Simplify right side
    2,193.70x = 4,268,695.96
  5. Step 5: Solve for x
    x = 4,268,695.96/2,193.70
  6. Step 6: Final answer
    x = 1,945.89

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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.