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Finding the Fourth Proportional to 2,597, 3,586.74 and 1,716.68

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Solution

The fourth proportional to 2,597, 3,586.74 and 1,716.68 is: 2,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597 : 3,586.74 = 1,716.68 : x
  2. Step 2: Convert to fraction form
    2,597/3,586.74 = 1,716.68/x
  3. Step 3: Cross multiply
    2,597x = 3,586.74 × 1,716.68
  4. Step 4: Simplify right side
    2,597x = 6,157,284.82
  5. Step 5: Solve for x
    x = 6,157,284.82/2,597
  6. Step 6: Final answer
    x = 2,370.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.