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Finding the Fourth Proportional to 2,899.16, 4,000.96 and 1,640.08

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Solution

The fourth proportional to 2,899.16, 4,000.96 and 1,640.08 is: 2,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.16 : 4,000.96 = 1,640.08 : x
  2. Step 2: Convert to fraction form
    2,899.16/4,000.96 = 1,640.08/x
  3. Step 3: Cross multiply
    2,899.16x = 4,000.96 × 1,640.08
  4. Step 4: Simplify right side
    2,899.16x = 6,561,894.48
  5. Step 5: Solve for x
    x = 6,561,894.48/2,899.16
  6. Step 6: Final answer
    x = 2,263.38

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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.