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Finding the Fourth Proportional to 1,892.57, 2,610.77 and 1,106.17

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Solution

The fourth proportional to 1,892.57, 2,610.77 and 1,106.17 is: 1,525.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.57 : 2,610.77 = 1,106.17 : x
  2. Step 2: Convert to fraction form
    1,892.57/2,610.77 = 1,106.17/x
  3. Step 3: Cross multiply
    1,892.57x = 2,610.77 × 1,106.17
  4. Step 4: Simplify right side
    1,892.57x = 2,887,945.16
  5. Step 5: Solve for x
    x = 2,887,945.16/1,892.57
  6. Step 6: Final answer
    x = 1,525.94

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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.