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Finding the Fourth Proportional to 2,798.42, 3,862.20 and 1,619.57

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Solution

The fourth proportional to 2,798.42, 3,862.20 and 1,619.57 is: 2,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.42 : 3,862.20 = 1,619.57 : x
  2. Step 2: Convert to fraction form
    2,798.42/3,862.20 = 1,619.57/x
  3. Step 3: Cross multiply
    2,798.42x = 3,862.20 × 1,619.57
  4. Step 4: Simplify right side
    2,798.42x = 6,255,075.85
  5. Step 5: Solve for x
    x = 6,255,075.85/2,798.42
  6. Step 6: Final answer
    x = 2,235.22

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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.