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Finding the Fourth Proportional to 3,019, 4,165.10 and 1,898.04

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Solution

The fourth proportional to 3,019, 4,165.10 and 1,898.04 is: 2,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019 : 4,165.10 = 1,898.04 : x
  2. Step 2: Convert to fraction form
    3,019/4,165.10 = 1,898.04/x
  3. Step 3: Cross multiply
    3,019x = 4,165.10 × 1,898.04
  4. Step 4: Simplify right side
    3,019x = 7,905,526.40
  5. Step 5: Solve for x
    x = 7,905,526.40/3,019
  6. Step 6: Final answer
    x = 2,618.59

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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.