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Finding the Fourth Proportional to 2,430.66, 3,644.31 and 1,131.42

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Solution

The fourth proportional to 2,430.66, 3,644.31 and 1,131.42 is: 1,696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.66 : 3,644.31 = 1,131.42 : x
  2. Step 2: Convert to fraction form
    2,430.66/3,644.31 = 1,131.42/x
  3. Step 3: Cross multiply
    2,430.66x = 3,644.31 × 1,131.42
  4. Step 4: Simplify right side
    2,430.66x = 4,123,245.22
  5. Step 5: Solve for x
    x = 4,123,245.22/2,430.66
  6. Step 6: Final answer
    x = 1,696.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.