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Finding the Fourth Proportional to 1,702.21, 2,348.88 and 994.12

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Solution

The fourth proportional to 1,702.21, 2,348.88 and 994.12 is: 1,371.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.21 : 2,348.88 = 994.12 : x
  2. Step 2: Convert to fraction form
    1,702.21/2,348.88 = 994.12/x
  3. Step 3: Cross multiply
    1,702.21x = 2,348.88 × 994.12
  4. Step 4: Simplify right side
    1,702.21x = 2,335,068.59
  5. Step 5: Solve for x
    x = 2,335,068.59/1,702.21
  6. Step 6: Final answer
    x = 1,371.79

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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.