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Finding the Fourth Proportional to 1,858.56, 2,563.83 and 1,160.34

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Solution

The fourth proportional to 1,858.56, 2,563.83 and 1,160.34 is: 1,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.56 : 2,563.83 = 1,160.34 : x
  2. Step 2: Convert to fraction form
    1,858.56/2,563.83 = 1,160.34/x
  3. Step 3: Cross multiply
    1,858.56x = 2,563.83 × 1,160.34
  4. Step 4: Simplify right side
    1,858.56x = 2,974,914.50
  5. Step 5: Solve for x
    x = 2,974,914.50/1,858.56
  6. Step 6: Final answer
    x = 1,600.66

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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.