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Finding the Fourth Proportional to 1,883.46, 2,597.74 and 1,671.06

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Solution

The fourth proportional to 1,883.46, 2,597.74 and 1,671.06 is: 2,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.46 : 2,597.74 = 1,671.06 : x
  2. Step 2: Convert to fraction form
    1,883.46/2,597.74 = 1,671.06/x
  3. Step 3: Cross multiply
    1,883.46x = 2,597.74 × 1,671.06
  4. Step 4: Simplify right side
    1,883.46x = 4,340,979.40
  5. Step 5: Solve for x
    x = 4,340,979.40/1,883.46
  6. Step 6: Final answer
    x = 2,304.79

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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.