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Finding the Fourth Proportional to 1,596.18, 2,203.80 and 1,427.60

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Solution

The fourth proportional to 1,596.18, 2,203.80 and 1,427.60 is: 1,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.18 : 2,203.80 = 1,427.60 : x
  2. Step 2: Convert to fraction form
    1,596.18/2,203.80 = 1,427.60/x
  3. Step 3: Cross multiply
    1,596.18x = 2,203.80 × 1,427.60
  4. Step 4: Simplify right side
    1,596.18x = 3,146,144.88
  5. Step 5: Solve for x
    x = 3,146,144.88/1,596.18
  6. Step 6: Final answer
    x = 1,971.05

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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.