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Finding the Fourth Proportional to 1,869.50, 2,580.04 and 1,083.54

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Solution

The fourth proportional to 1,869.50, 2,580.04 and 1,083.54 is: 1,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.50 : 2,580.04 = 1,083.54 : x
  2. Step 2: Convert to fraction form
    1,869.50/2,580.04 = 1,083.54/x
  3. Step 3: Cross multiply
    1,869.50x = 2,580.04 × 1,083.54
  4. Step 4: Simplify right side
    1,869.50x = 2,795,576.54
  5. Step 5: Solve for x
    x = 2,795,576.54/1,869.50
  6. Step 6: Final answer
    x = 1,495.36

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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.