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Finding the Fourth Proportional to 2,068.22, 3,102.32 and 898.07

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Solution

The fourth proportional to 2,068.22, 3,102.32 and 898.07 is: 1,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.22 : 3,102.32 = 898.07 : x
  2. Step 2: Convert to fraction form
    2,068.22/3,102.32 = 898.07/x
  3. Step 3: Cross multiply
    2,068.22x = 3,102.32 × 898.07
  4. Step 4: Simplify right side
    2,068.22x = 2,786,082.20
  5. Step 5: Solve for x
    x = 2,786,082.20/2,068.22
  6. Step 6: Final answer
    x = 1,347.09

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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.