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Finding the Fourth Proportional to 1,890.78, 2,609.10 and 1,751.46

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Solution

The fourth proportional to 1,890.78, 2,609.10 and 1,751.46 is: 2,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.78 : 2,609.10 = 1,751.46 : x
  2. Step 2: Convert to fraction form
    1,890.78/2,609.10 = 1,751.46/x
  3. Step 3: Cross multiply
    1,890.78x = 2,609.10 × 1,751.46
  4. Step 4: Simplify right side
    1,890.78x = 4,569,734.29
  5. Step 5: Solve for x
    x = 4,569,734.29/1,890.78
  6. Step 6: Final answer
    x = 2,416.85

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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.