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Finding the Fourth Proportional to 2,709.18, 3,738.02 and 1,590.03

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Solution

The fourth proportional to 2,709.18, 3,738.02 and 1,590.03 is: 2,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.18 : 3,738.02 = 1,590.03 : x
  2. Step 2: Convert to fraction form
    2,709.18/3,738.02 = 1,590.03/x
  3. Step 3: Cross multiply
    2,709.18x = 3,738.02 × 1,590.03
  4. Step 4: Simplify right side
    2,709.18x = 5,943,555.99
  5. Step 5: Solve for x
    x = 5,943,555.99/2,709.18
  6. Step 6: Final answer
    x = 2,193.86

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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.