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Finding the Fourth Proportional to 1,369.60, 1,890.48 and 976.72

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Solution

The fourth proportional to 1,369.60, 1,890.48 and 976.72 is: 1,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.60 : 1,890.48 = 976.72 : x
  2. Step 2: Convert to fraction form
    1,369.60/1,890.48 = 976.72/x
  3. Step 3: Cross multiply
    1,369.60x = 1,890.48 × 976.72
  4. Step 4: Simplify right side
    1,369.60x = 1,846,469.63
  5. Step 5: Solve for x
    x = 1,846,469.63/1,369.60
  6. Step 6: Final answer
    x = 1,348.18

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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.