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Finding the Fourth Proportional to 2,377.98, 3,277.53 and 1,590.66

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Solution

The fourth proportional to 2,377.98, 3,277.53 and 1,590.66 is: 2,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.98 : 3,277.53 = 1,590.66 : x
  2. Step 2: Convert to fraction form
    2,377.98/3,277.53 = 1,590.66/x
  3. Step 3: Cross multiply
    2,377.98x = 3,277.53 × 1,590.66
  4. Step 4: Simplify right side
    2,377.98x = 5,213,435.87
  5. Step 5: Solve for x
    x = 5,213,435.87/2,377.98
  6. Step 6: Final answer
    x = 2,192.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.