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Finding the Fourth Proportional to 2,590.66, 3,880.49 and 2,094.94

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Solution

The fourth proportional to 2,590.66, 3,880.49 and 2,094.94 is: 3,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.66 : 3,880.49 = 2,094.94 : x
  2. Step 2: Convert to fraction form
    2,590.66/3,880.49 = 2,094.94/x
  3. Step 3: Cross multiply
    2,590.66x = 3,880.49 × 2,094.94
  4. Step 4: Simplify right side
    2,590.66x = 8,129,363.84
  5. Step 5: Solve for x
    x = 8,129,363.84/2,590.66
  6. Step 6: Final answer
    x = 3,137.96

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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.