Home / 1,464.57-2,186.41-1,413.30

Finding the Fourth Proportional to 1,464.57, 2,186.41 and 1,413.30

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Solution

The fourth proportional to 1,464.57, 2,186.41 and 1,413.30 is: 2,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.57 : 2,186.41 = 1,413.30 : x
  2. Step 2: Convert to fraction form
    1,464.57/2,186.41 = 1,413.30/x
  3. Step 3: Cross multiply
    1,464.57x = 2,186.41 × 1,413.30
  4. Step 4: Simplify right side
    1,464.57x = 3,090,053.25
  5. Step 5: Solve for x
    x = 3,090,053.25/1,464.57
  6. Step 6: Final answer
    x = 2,109.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.