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Finding the Fourth Proportional to 2,784.45, 3,841.29 and 1,605.27

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Solution

The fourth proportional to 2,784.45, 3,841.29 and 1,605.27 is: 2,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.45 : 3,841.29 = 1,605.27 : x
  2. Step 2: Convert to fraction form
    2,784.45/3,841.29 = 1,605.27/x
  3. Step 3: Cross multiply
    2,784.45x = 3,841.29 × 1,605.27
  4. Step 4: Simplify right side
    2,784.45x = 6,166,307.60
  5. Step 5: Solve for x
    x = 6,166,307.60/2,784.45
  6. Step 6: Final answer
    x = 2,214.55

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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.