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Finding the Fourth Proportional to 1,693.98, 2,320.18 and 1,594.35

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Solution

The fourth proportional to 1,693.98, 2,320.18 and 1,594.35 is: 2,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.98 : 2,320.18 = 1,594.35 : x
  2. Step 2: Convert to fraction form
    1,693.98/2,320.18 = 1,594.35/x
  3. Step 3: Cross multiply
    1,693.98x = 2,320.18 × 1,594.35
  4. Step 4: Simplify right side
    1,693.98x = 3,699,175.00
  5. Step 5: Solve for x
    x = 3,699,175.00/1,693.98
  6. Step 6: Final answer
    x = 2,183.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.