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Finding the Fourth Proportional to 1,610.51, 2,222.69 and 981.41

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Solution

The fourth proportional to 1,610.51, 2,222.69 and 981.41 is: 1,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.51 : 2,222.69 = 981.41 : x
  2. Step 2: Convert to fraction form
    1,610.51/2,222.69 = 981.41/x
  3. Step 3: Cross multiply
    1,610.51x = 2,222.69 × 981.41
  4. Step 4: Simplify right side
    1,610.51x = 2,181,370.19
  5. Step 5: Solve for x
    x = 2,181,370.19/1,610.51
  6. Step 6: Final answer
    x = 1,354.46

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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.