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Finding the Fourth Proportional to 1,657.94, 2,486.63 and 617.69

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Solution

The fourth proportional to 1,657.94, 2,486.63 and 617.69 is: 926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.94 : 2,486.63 = 617.69 : x
  2. Step 2: Convert to fraction form
    1,657.94/2,486.63 = 617.69/x
  3. Step 3: Cross multiply
    1,657.94x = 2,486.63 × 617.69
  4. Step 4: Simplify right side
    1,657.94x = 1,535,974.25
  5. Step 5: Solve for x
    x = 1,535,974.25/1,657.94
  6. Step 6: Final answer
    x = 926.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.