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Finding the Fourth Proportional to 1,657.76, 2,488.26 and 1,650.06

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Solution

The fourth proportional to 1,657.76, 2,488.26 and 1,650.06 is: 2,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.76 : 2,488.26 = 1,650.06 : x
  2. Step 2: Convert to fraction form
    1,657.76/2,488.26 = 1,650.06/x
  3. Step 3: Cross multiply
    1,657.76x = 2,488.26 × 1,650.06
  4. Step 4: Simplify right side
    1,657.76x = 4,105,778.30
  5. Step 5: Solve for x
    x = 4,105,778.30/1,657.76
  6. Step 6: Final answer
    x = 2,476.70

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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.