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Finding the Fourth Proportional to 1,718.65, 2,561.07 and 1,614.77

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Solution

The fourth proportional to 1,718.65, 2,561.07 and 1,614.77 is: 2,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.65 : 2,561.07 = 1,614.77 : x
  2. Step 2: Convert to fraction form
    1,718.65/2,561.07 = 1,614.77/x
  3. Step 3: Cross multiply
    1,718.65x = 2,561.07 × 1,614.77
  4. Step 4: Simplify right side
    1,718.65x = 4,135,518.12
  5. Step 5: Solve for x
    x = 4,135,518.12/1,718.65
  6. Step 6: Final answer
    x = 2,406.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.