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Finding the Fourth Proportional to 2,608.23, 3,599.34 and 1,429.32

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Solution

The fourth proportional to 2,608.23, 3,599.34 and 1,429.32 is: 1,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.23 : 3,599.34 = 1,429.32 : x
  2. Step 2: Convert to fraction form
    2,608.23/3,599.34 = 1,429.32/x
  3. Step 3: Cross multiply
    2,608.23x = 3,599.34 × 1,429.32
  4. Step 4: Simplify right side
    2,608.23x = 5,144,608.65
  5. Step 5: Solve for x
    x = 5,144,608.65/2,608.23
  6. Step 6: Final answer
    x = 1,972.45

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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.