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Finding the Fourth Proportional to 1,842.11, 2,759.10 and 1,698.06

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Solution

The fourth proportional to 1,842.11, 2,759.10 and 1,698.06 is: 2,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.11 : 2,759.10 = 1,698.06 : x
  2. Step 2: Convert to fraction form
    1,842.11/2,759.10 = 1,698.06/x
  3. Step 3: Cross multiply
    1,842.11x = 2,759.10 × 1,698.06
  4. Step 4: Simplify right side
    1,842.11x = 4,685,117.35
  5. Step 5: Solve for x
    x = 4,685,117.35/1,842.11
  6. Step 6: Final answer
    x = 2,543.35

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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.