Home / 1,654.22-2,282.37-1,024.45

Finding the Fourth Proportional to 1,654.22, 2,282.37 and 1,024.45

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Solution

The fourth proportional to 1,654.22, 2,282.37 and 1,024.45 is: 1,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.22 : 2,282.37 = 1,024.45 : x
  2. Step 2: Convert to fraction form
    1,654.22/2,282.37 = 1,024.45/x
  3. Step 3: Cross multiply
    1,654.22x = 2,282.37 × 1,024.45
  4. Step 4: Simplify right side
    1,654.22x = 2,338,173.95
  5. Step 5: Solve for x
    x = 2,338,173.95/1,654.22
  6. Step 6: Final answer
    x = 1,413.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.