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Finding the Fourth Proportional to 2,333.90, 3,218.66 and 1,546.58

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Solution

The fourth proportional to 2,333.90, 3,218.66 and 1,546.58 is: 2,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.90 : 3,218.66 = 1,546.58 : x
  2. Step 2: Convert to fraction form
    2,333.90/3,218.66 = 1,546.58/x
  3. Step 3: Cross multiply
    2,333.90x = 3,218.66 × 1,546.58
  4. Step 4: Simplify right side
    2,333.90x = 4,977,915.18
  5. Step 5: Solve for x
    x = 4,977,915.18/2,333.90
  6. Step 6: Final answer
    x = 2,132.87

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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.