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Finding the Fourth Proportional to 2,798.64, 3,862.06 and 1,914.41

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Solution

The fourth proportional to 2,798.64, 3,862.06 and 1,914.41 is: 2,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.64 : 3,862.06 = 1,914.41 : x
  2. Step 2: Convert to fraction form
    2,798.64/3,862.06 = 1,914.41/x
  3. Step 3: Cross multiply
    2,798.64x = 3,862.06 × 1,914.41
  4. Step 4: Simplify right side
    2,798.64x = 7,393,566.28
  5. Step 5: Solve for x
    x = 7,393,566.28/2,798.64
  6. Step 6: Final answer
    x = 2,641.84

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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.