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Finding the Fourth Proportional to 1,725.25, 2,583.76 and 944.08

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Solution

The fourth proportional to 1,725.25, 2,583.76 and 944.08 is: 1,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.25 : 2,583.76 = 944.08 : x
  2. Step 2: Convert to fraction form
    1,725.25/2,583.76 = 944.08/x
  3. Step 3: Cross multiply
    1,725.25x = 2,583.76 × 944.08
  4. Step 4: Simplify right side
    1,725.25x = 2,439,276.14
  5. Step 5: Solve for x
    x = 2,439,276.14/1,725.25
  6. Step 6: Final answer
    x = 1,413.87

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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.