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Finding the Fourth Proportional to 2,295.30, 3,444.36 and 1,419

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Solution

The fourth proportional to 2,295.30, 3,444.36 and 1,419 is: 2,129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.30 : 3,444.36 = 1,419 : x
  2. Step 2: Convert to fraction form
    2,295.30/3,444.36 = 1,419/x
  3. Step 3: Cross multiply
    2,295.30x = 3,444.36 × 1,419
  4. Step 4: Simplify right side
    2,295.30x = 4,887,546.84
  5. Step 5: Solve for x
    x = 4,887,546.84/2,295.30
  6. Step 6: Final answer
    x = 2,129.37

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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.