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Finding the Fourth Proportional to 2,460.76, 3,396.30 and 1,413.46

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Solution

The fourth proportional to 2,460.76, 3,396.30 and 1,413.46 is: 1,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.76 : 3,396.30 = 1,413.46 : x
  2. Step 2: Convert to fraction form
    2,460.76/3,396.30 = 1,413.46/x
  3. Step 3: Cross multiply
    2,460.76x = 3,396.30 × 1,413.46
  4. Step 4: Simplify right side
    2,460.76x = 4,800,534.20
  5. Step 5: Solve for x
    x = 4,800,534.20/2,460.76
  6. Step 6: Final answer
    x = 1,950.83

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1.5x scale

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.