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Finding the Fourth Proportional to 2,695.29, 4,039.70 and 1,462.65

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Solution

The fourth proportional to 2,695.29, 4,039.70 and 1,462.65 is: 2,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.29 : 4,039.70 = 1,462.65 : x
  2. Step 2: Convert to fraction form
    2,695.29/4,039.70 = 1,462.65/x
  3. Step 3: Cross multiply
    2,695.29x = 4,039.70 × 1,462.65
  4. Step 4: Simplify right side
    2,695.29x = 5,908,659.89
  5. Step 5: Solve for x
    x = 5,908,659.89/2,695.29
  6. Step 6: Final answer
    x = 2,192.22

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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.