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Finding the Fourth Proportional to 2,460.63, 3,395.79 and 1,413.03

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Solution

The fourth proportional to 2,460.63, 3,395.79 and 1,413.03 is: 1,950.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.63 : 3,395.79 = 1,413.03 : x
  2. Step 2: Convert to fraction form
    2,460.63/3,395.79 = 1,413.03/x
  3. Step 3: Cross multiply
    2,460.63x = 3,395.79 × 1,413.03
  4. Step 4: Simplify right side
    2,460.63x = 4,798,353.14
  5. Step 5: Solve for x
    x = 4,798,353.14/2,460.63
  6. Step 6: Final answer
    x = 1,950.05

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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.