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Finding the Fourth Proportional to 2,798.88, 3,862.40 and 1,914.66

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Solution

The fourth proportional to 2,798.88, 3,862.40 and 1,914.66 is: 2,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.88 : 3,862.40 = 1,914.66 : x
  2. Step 2: Convert to fraction form
    2,798.88/3,862.40 = 1,914.66/x
  3. Step 3: Cross multiply
    2,798.88x = 3,862.40 × 1,914.66
  4. Step 4: Simplify right side
    2,798.88x = 7,395,182.78
  5. Step 5: Solve for x
    x = 7,395,182.78/2,798.88
  6. Step 6: Final answer
    x = 2,642.19

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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.