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Finding the Fourth Proportional to 2,509.97, 3,462.04 and 1,722.65

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Solution

The fourth proportional to 2,509.97, 3,462.04 and 1,722.65 is: 2,376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.97 : 3,462.04 = 1,722.65 : x
  2. Step 2: Convert to fraction form
    2,509.97/3,462.04 = 1,722.65/x
  3. Step 3: Cross multiply
    2,509.97x = 3,462.04 × 1,722.65
  4. Step 4: Simplify right side
    2,509.97x = 5,963,883.21
  5. Step 5: Solve for x
    x = 5,963,883.21/2,509.97
  6. Step 6: Final answer
    x = 2,376.08

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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.