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Finding the Fourth Proportional to 1,749.53, 2,413.58 and 1,182.19

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Solution

The fourth proportional to 1,749.53, 2,413.58 and 1,182.19 is: 1,630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.53 : 2,413.58 = 1,182.19 : x
  2. Step 2: Convert to fraction form
    1,749.53/2,413.58 = 1,182.19/x
  3. Step 3: Cross multiply
    1,749.53x = 2,413.58 × 1,182.19
  4. Step 4: Simplify right side
    1,749.53x = 2,853,293.67
  5. Step 5: Solve for x
    x = 2,853,293.67/1,749.53
  6. Step 6: Final answer
    x = 1,630.89

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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.