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Finding the Fourth Proportional to 1,647.66, 2,285.42 and 1,588.56

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Solution

The fourth proportional to 1,647.66, 2,285.42 and 1,588.56 is: 2,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.66 : 2,285.42 = 1,588.56 : x
  2. Step 2: Convert to fraction form
    1,647.66/2,285.42 = 1,588.56/x
  3. Step 3: Cross multiply
    1,647.66x = 2,285.42 × 1,588.56
  4. Step 4: Simplify right side
    1,647.66x = 3,630,526.80
  5. Step 5: Solve for x
    x = 3,630,526.80/1,647.66
  6. Step 6: Final answer
    x = 2,203.44

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.