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Finding the Fourth Proportional to 2,109.14, 3,159.90 and 1,698.50

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Solution

The fourth proportional to 2,109.14, 3,159.90 and 1,698.50 is: 2,544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.14 : 3,159.90 = 1,698.50 : x
  2. Step 2: Convert to fraction form
    2,109.14/3,159.90 = 1,698.50/x
  3. Step 3: Cross multiply
    2,109.14x = 3,159.90 × 1,698.50
  4. Step 4: Simplify right side
    2,109.14x = 5,367,090.15
  5. Step 5: Solve for x
    x = 5,367,090.15/2,109.14
  6. Step 6: Final answer
    x = 2,544.68

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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.