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Finding the Fourth Proportional to 1,610.98, 2,411.07 and 1,186.48

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Solution

The fourth proportional to 1,610.98, 2,411.07 and 1,186.48 is: 1,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.98 : 2,411.07 = 1,186.48 : x
  2. Step 2: Convert to fraction form
    1,610.98/2,411.07 = 1,186.48/x
  3. Step 3: Cross multiply
    1,610.98x = 2,411.07 × 1,186.48
  4. Step 4: Simplify right side
    1,610.98x = 2,860,686.33
  5. Step 5: Solve for x
    x = 2,860,686.33/1,610.98
  6. Step 6: Final answer
    x = 1,775.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.