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Finding the Fourth Proportional to 1,657.68, 2,486.52 and 1,520.34

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Solution

The fourth proportional to 1,657.68, 2,486.52 and 1,520.34 is: 2,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.68 : 2,486.52 = 1,520.34 : x
  2. Step 2: Convert to fraction form
    1,657.68/2,486.52 = 1,520.34/x
  3. Step 3: Cross multiply
    1,657.68x = 2,486.52 × 1,520.34
  4. Step 4: Simplify right side
    1,657.68x = 3,780,355.82
  5. Step 5: Solve for x
    x = 3,780,355.82/1,657.68
  6. Step 6: Final answer
    x = 2,280.51

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1.5x scale

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.