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Finding the Fourth Proportional to 2,899.37, 4,000.84 and 1,640.48

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Solution

The fourth proportional to 2,899.37, 4,000.84 and 1,640.48 is: 2,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.37 : 4,000.84 = 1,640.48 : x
  2. Step 2: Convert to fraction form
    2,899.37/4,000.84 = 1,640.48/x
  3. Step 3: Cross multiply
    2,899.37x = 4,000.84 × 1,640.48
  4. Step 4: Simplify right side
    2,899.37x = 6,563,294.38
  5. Step 5: Solve for x
    x = 6,563,294.38/2,899.37
  6. Step 6: Final answer
    x = 2,263.70

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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.