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Finding the Fourth Proportional to 1,829.94, 2,524.86 and 1,083.60

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Solution

The fourth proportional to 1,829.94, 2,524.86 and 1,083.60 is: 1,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.94 : 2,524.86 = 1,083.60 : x
  2. Step 2: Convert to fraction form
    1,829.94/2,524.86 = 1,083.60/x
  3. Step 3: Cross multiply
    1,829.94x = 2,524.86 × 1,083.60
  4. Step 4: Simplify right side
    1,829.94x = 2,735,938.30
  5. Step 5: Solve for x
    x = 2,735,938.30/1,829.94
  6. Step 6: Final answer
    x = 1,495.10

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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.