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Finding the Fourth Proportional to 1,887.57, 2,604.84 and 1,059.57

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Solution

The fourth proportional to 1,887.57, 2,604.84 and 1,059.57 is: 1,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.57 : 2,604.84 = 1,059.57 : x
  2. Step 2: Convert to fraction form
    1,887.57/2,604.84 = 1,059.57/x
  3. Step 3: Cross multiply
    1,887.57x = 2,604.84 × 1,059.57
  4. Step 4: Simplify right side
    1,887.57x = 2,760,010.32
  5. Step 5: Solve for x
    x = 2,760,010.32/1,887.57
  6. Step 6: Final answer
    x = 1,462.20

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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.