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Finding the Fourth Proportional to 2,412, 3,328.80 and 1,748.64

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Solution

The fourth proportional to 2,412, 3,328.80 and 1,748.64 is: 2,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412 : 3,328.80 = 1,748.64 : x
  2. Step 2: Convert to fraction form
    2,412/3,328.80 = 1,748.64/x
  3. Step 3: Cross multiply
    2,412x = 3,328.80 × 1,748.64
  4. Step 4: Simplify right side
    2,412x = 5,820,872.83
  5. Step 5: Solve for x
    x = 5,820,872.83/2,412
  6. Step 6: Final answer
    x = 2,413.30

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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.