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Finding the Fourth Proportional to 2,345.97, 3,520.05 and 1,029.56

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Solution

The fourth proportional to 2,345.97, 3,520.05 and 1,029.56 is: 1,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.97 : 3,520.05 = 1,029.56 : x
  2. Step 2: Convert to fraction form
    2,345.97/3,520.05 = 1,029.56/x
  3. Step 3: Cross multiply
    2,345.97x = 3,520.05 × 1,029.56
  4. Step 4: Simplify right side
    2,345.97x = 3,624,081.22
  5. Step 5: Solve for x
    x = 3,624,081.22/2,345.97
  6. Step 6: Final answer
    x = 1,544.81

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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.