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Finding the Fourth Proportional to 1,657.90, 2,206.48 and 1,657.90

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Solution

The fourth proportional to 1,657.90, 2,206.48 and 1,657.90 is: 2,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.90 : 2,206.48 = 1,657.90 : x
  2. Step 2: Convert to fraction form
    1,657.90/2,206.48 = 1,657.90/x
  3. Step 3: Cross multiply
    1,657.90x = 2,206.48 × 1,657.90
  4. Step 4: Simplify right side
    1,657.90x = 3,658,123.19
  5. Step 5: Solve for x
    x = 3,658,123.19/1,657.90
  6. Step 6: Final answer
    x = 2,206.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.