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Finding the Fourth Proportional to 2,709.24, 3,738.12 and 1,590.12

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Solution

The fourth proportional to 2,709.24, 3,738.12 and 1,590.12 is: 2,194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.24 : 3,738.12 = 1,590.12 : x
  2. Step 2: Convert to fraction form
    2,709.24/3,738.12 = 1,590.12/x
  3. Step 3: Cross multiply
    2,709.24x = 3,738.12 × 1,590.12
  4. Step 4: Simplify right side
    2,709.24x = 5,944,059.37
  5. Step 5: Solve for x
    x = 5,944,059.37/2,709.24
  6. Step 6: Final answer
    x = 2,194.00

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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.