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Finding the Fourth Proportional to 2,473.88, 3,413.95 and 1,425.94

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Solution

The fourth proportional to 2,473.88, 3,413.95 and 1,425.94 is: 1,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.88 : 3,413.95 = 1,425.94 : x
  2. Step 2: Convert to fraction form
    2,473.88/3,413.95 = 1,425.94/x
  3. Step 3: Cross multiply
    2,473.88x = 3,413.95 × 1,425.94
  4. Step 4: Simplify right side
    2,473.88x = 4,868,075.76
  5. Step 5: Solve for x
    x = 4,868,075.76/2,473.88
  6. Step 6: Final answer
    x = 1,967.79

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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.