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Finding the Fourth Proportional to 1,610.76, 2,402.06 and 1,596.18

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Solution

The fourth proportional to 1,610.76, 2,402.06 and 1,596.18 is: 2,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.76 : 2,402.06 = 1,596.18 : x
  2. Step 2: Convert to fraction form
    1,610.76/2,402.06 = 1,596.18/x
  3. Step 3: Cross multiply
    1,610.76x = 2,402.06 × 1,596.18
  4. Step 4: Simplify right side
    1,610.76x = 3,834,112.15
  5. Step 5: Solve for x
    x = 3,834,112.15/1,610.76
  6. Step 6: Final answer
    x = 2,380.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.