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Finding the Fourth Proportional to 1,748.86, 2,413.44 and 963.04

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Solution

The fourth proportional to 1,748.86, 2,413.44 and 963.04 is: 1,329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.86 : 2,413.44 = 963.04 : x
  2. Step 2: Convert to fraction form
    1,748.86/2,413.44 = 963.04/x
  3. Step 3: Cross multiply
    1,748.86x = 2,413.44 × 963.04
  4. Step 4: Simplify right side
    1,748.86x = 2,324,239.26
  5. Step 5: Solve for x
    x = 2,324,239.26/1,748.86
  6. Step 6: Final answer
    x = 1,329.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.