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Finding the Fourth Proportional to 1,657.50, 2,486.57 and 561.84

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Solution

The fourth proportional to 1,657.50, 2,486.57 and 561.84 is: 842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.50 : 2,486.57 = 561.84 : x
  2. Step 2: Convert to fraction form
    1,657.50/2,486.57 = 561.84/x
  3. Step 3: Cross multiply
    1,657.50x = 2,486.57 × 561.84
  4. Step 4: Simplify right side
    1,657.50x = 1,397,054.49
  5. Step 5: Solve for x
    x = 1,397,054.49/1,657.50
  6. Step 6: Final answer
    x = 842.87

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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.