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Finding the Fourth Proportional to 1,702.44, 2,349.33 and 946.17

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Solution

The fourth proportional to 1,702.44, 2,349.33 and 946.17 is: 1,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.44 : 2,349.33 = 946.17 : x
  2. Step 2: Convert to fraction form
    1,702.44/2,349.33 = 946.17/x
  3. Step 3: Cross multiply
    1,702.44x = 2,349.33 × 946.17
  4. Step 4: Simplify right side
    1,702.44x = 2,222,865.57
  5. Step 5: Solve for x
    x = 2,222,865.57/1,702.44
  6. Step 6: Final answer
    x = 1,305.69

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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.