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Finding the Fourth Proportional to 3,046.31, 4,203.81 and 1,702.00

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Solution

The fourth proportional to 3,046.31, 4,203.81 and 1,702.00 is: 2,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.31 : 4,203.81 = 1,702.00 : x
  2. Step 2: Convert to fraction form
    3,046.31/4,203.81 = 1,702.00/x
  3. Step 3: Cross multiply
    3,046.31x = 4,203.81 × 1,702.00
  4. Step 4: Simplify right side
    3,046.31x = 7,154,874.11
  5. Step 5: Solve for x
    x = 7,154,874.11/3,046.31
  6. Step 6: Final answer
    x = 2,348.70

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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.