Home / 1,567.44-2,351.16-413.18

Finding the Fourth Proportional to 1,567.44, 2,351.16 and 413.18

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Solution

The fourth proportional to 1,567.44, 2,351.16 and 413.18 is: 619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.44 : 2,351.16 = 413.18 : x
  2. Step 2: Convert to fraction form
    1,567.44/2,351.16 = 413.18/x
  3. Step 3: Cross multiply
    1,567.44x = 2,351.16 × 413.18
  4. Step 4: Simplify right side
    1,567.44x = 971,452.29
  5. Step 5: Solve for x
    x = 971,452.29/1,567.44
  6. Step 6: Final answer
    x = 619.77

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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.