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Finding the Fourth Proportional to 2,629.63, 3,945.05 and 898.25

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Solution

The fourth proportional to 2,629.63, 3,945.05 and 898.25 is: 1,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.63 : 3,945.05 = 898.25 : x
  2. Step 2: Convert to fraction form
    2,629.63/3,945.05 = 898.25/x
  3. Step 3: Cross multiply
    2,629.63x = 3,945.05 × 898.25
  4. Step 4: Simplify right side
    2,629.63x = 3,543,641.16
  5. Step 5: Solve for x
    x = 3,543,641.16/2,629.63
  6. Step 6: Final answer
    x = 1,347.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.