Home / 1,898.24-2,844.80-1,413.12

Finding the Fourth Proportional to 1,898.24, 2,844.80 and 1,413.12

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Solution

The fourth proportional to 1,898.24, 2,844.80 and 1,413.12 is: 2,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.24 : 2,844.80 = 1,413.12 : x
  2. Step 2: Convert to fraction form
    1,898.24/2,844.80 = 1,413.12/x
  3. Step 3: Cross multiply
    1,898.24x = 2,844.80 × 1,413.12
  4. Step 4: Simplify right side
    1,898.24x = 4,020,043.78
  5. Step 5: Solve for x
    x = 4,020,043.78/1,898.24
  6. Step 6: Final answer
    x = 2,117.77

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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.