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Finding the Fourth Proportional to 1,657.74, 2,489.37 and 1,482.30

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Solution

The fourth proportional to 1,657.74, 2,489.37 and 1,482.30 is: 2,225.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.74 : 2,489.37 = 1,482.30 : x
  2. Step 2: Convert to fraction form
    1,657.74/2,489.37 = 1,482.30/x
  3. Step 3: Cross multiply
    1,657.74x = 2,489.37 × 1,482.30
  4. Step 4: Simplify right side
    1,657.74x = 3,689,993.15
  5. Step 5: Solve for x
    x = 3,689,993.15/1,657.74
  6. Step 6: Final answer
    x = 2,225.92

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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.