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Finding the Fourth Proportional to 2,304.51, 3,455.61 and 2,137.78

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Solution

The fourth proportional to 2,304.51, 3,455.61 and 2,137.78 is: 3,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.51 : 3,455.61 = 2,137.78 : x
  2. Step 2: Convert to fraction form
    2,304.51/3,455.61 = 2,137.78/x
  3. Step 3: Cross multiply
    2,304.51x = 3,455.61 × 2,137.78
  4. Step 4: Simplify right side
    2,304.51x = 7,387,333.95
  5. Step 5: Solve for x
    x = 7,387,333.95/2,304.51
  6. Step 6: Final answer
    x = 3,205.60

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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.