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Finding the Fourth Proportional to 2,953.97, 4,076.49 and 1,627.64

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Solution

The fourth proportional to 2,953.97, 4,076.49 and 1,627.64 is: 2,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.97 : 4,076.49 = 1,627.64 : x
  2. Step 2: Convert to fraction form
    2,953.97/4,076.49 = 1,627.64/x
  3. Step 3: Cross multiply
    2,953.97x = 4,076.49 × 1,627.64
  4. Step 4: Simplify right side
    2,953.97x = 6,635,075.26
  5. Step 5: Solve for x
    x = 6,635,075.26/2,953.97
  6. Step 6: Final answer
    x = 2,246.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.