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Finding the Fourth Proportional to 1,605.63, 2,216.79 and 1,311.60

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Solution

The fourth proportional to 1,605.63, 2,216.79 and 1,311.60 is: 1,810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.63 : 2,216.79 = 1,311.60 : x
  2. Step 2: Convert to fraction form
    1,605.63/2,216.79 = 1,311.60/x
  3. Step 3: Cross multiply
    1,605.63x = 2,216.79 × 1,311.60
  4. Step 4: Simplify right side
    1,605.63x = 2,907,541.76
  5. Step 5: Solve for x
    x = 2,907,541.76/1,605.63
  6. Step 6: Final answer
    x = 1,810.84

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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.