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Finding the Fourth Proportional to 1,610.79, 2,220.50 and 1,137.14

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Solution

The fourth proportional to 1,610.79, 2,220.50 and 1,137.14 is: 1,567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.79 : 2,220.50 = 1,137.14 : x
  2. Step 2: Convert to fraction form
    1,610.79/2,220.50 = 1,137.14/x
  3. Step 3: Cross multiply
    1,610.79x = 2,220.50 × 1,137.14
  4. Step 4: Simplify right side
    1,610.79x = 2,525,002.58
  5. Step 5: Solve for x
    x = 2,525,002.58/1,610.79
  6. Step 6: Final answer
    x = 1,567.56

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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.