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Finding the Fourth Proportional to 2,741.69, 4,112.49 and 1,862.01

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Solution

The fourth proportional to 2,741.69, 4,112.49 and 1,862.01 is: 2,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.69 : 4,112.49 = 1,862.01 : x
  2. Step 2: Convert to fraction form
    2,741.69/4,112.49 = 1,862.01/x
  3. Step 3: Cross multiply
    2,741.69x = 4,112.49 × 1,862.01
  4. Step 4: Simplify right side
    2,741.69x = 7,657,497.50
  5. Step 5: Solve for x
    x = 7,657,497.50/2,741.69
  6. Step 6: Final answer
    x = 2,792.98

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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.