Home / 1,413.65-2,117.34-864.17

Finding the Fourth Proportional to 1,413.65, 2,117.34 and 864.17

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Solution

The fourth proportional to 1,413.65, 2,117.34 and 864.17 is: 1,294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.65 : 2,117.34 = 864.17 : x
  2. Step 2: Convert to fraction form
    1,413.65/2,117.34 = 864.17/x
  3. Step 3: Cross multiply
    1,413.65x = 2,117.34 × 864.17
  4. Step 4: Simplify right side
    1,413.65x = 1,829,739.06
  5. Step 5: Solve for x
    x = 1,829,739.06/1,413.65
  6. Step 6: Final answer
    x = 1,294.33

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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.