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Finding the Fourth Proportional to 1,233.42, 1,840.31 and 1,146.30

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Solution

The fourth proportional to 1,233.42, 1,840.31 and 1,146.30 is: 1,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.42 : 1,840.31 = 1,146.30 : x
  2. Step 2: Convert to fraction form
    1,233.42/1,840.31 = 1,146.30/x
  3. Step 3: Cross multiply
    1,233.42x = 1,840.31 × 1,146.30
  4. Step 4: Simplify right side
    1,233.42x = 2,109,541.62
  5. Step 5: Solve for x
    x = 2,109,541.62/1,233.42
  6. Step 6: Final answer
    x = 1,710.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.