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Finding the Fourth Proportional to 2,898.45, 4,317.84 and 2,755.89

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Solution

The fourth proportional to 2,898.45, 4,317.84 and 2,755.89 is: 4,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.45 : 4,317.84 = 2,755.89 : x
  2. Step 2: Convert to fraction form
    2,898.45/4,317.84 = 2,755.89/x
  3. Step 3: Cross multiply
    2,898.45x = 4,317.84 × 2,755.89
  4. Step 4: Simplify right side
    2,898.45x = 11,899,492.08
  5. Step 5: Solve for x
    x = 11,899,492.08/2,898.45
  6. Step 6: Final answer
    x = 4,105.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.