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Finding the Fourth Proportional to 1,898.40, 2,584.65 and 1,892.55

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Solution

The fourth proportional to 1,898.40, 2,584.65 and 1,892.55 is: 2,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.40 : 2,584.65 = 1,892.55 : x
  2. Step 2: Convert to fraction form
    1,898.40/2,584.65 = 1,892.55/x
  3. Step 3: Cross multiply
    1,898.40x = 2,584.65 × 1,892.55
  4. Step 4: Simplify right side
    1,898.40x = 4,891,579.36
  5. Step 5: Solve for x
    x = 4,891,579.36/1,898.40
  6. Step 6: Final answer
    x = 2,576.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.