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Finding the Fourth Proportional to 1,782.99, 2,668.34 and 1,413.95

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Solution

The fourth proportional to 1,782.99, 2,668.34 and 1,413.95 is: 2,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.99 : 2,668.34 = 1,413.95 : x
  2. Step 2: Convert to fraction form
    1,782.99/2,668.34 = 1,413.95/x
  3. Step 3: Cross multiply
    1,782.99x = 2,668.34 × 1,413.95
  4. Step 4: Simplify right side
    1,782.99x = 3,772,878.93
  5. Step 5: Solve for x
    x = 3,772,878.93/1,782.99
  6. Step 6: Final answer
    x = 2,116.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.