Home / 1,524.90-2,282.94-943.86

Finding the Fourth Proportional to 1,524.90, 2,282.94 and 943.86

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Solution

The fourth proportional to 1,524.90, 2,282.94 and 943.86 is: 1,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.90 : 2,282.94 = 943.86 : x
  2. Step 2: Convert to fraction form
    1,524.90/2,282.94 = 943.86/x
  3. Step 3: Cross multiply
    1,524.90x = 2,282.94 × 943.86
  4. Step 4: Simplify right side
    1,524.90x = 2,154,775.75
  5. Step 5: Solve for x
    x = 2,154,775.75/1,524.90
  6. Step 6: Final answer
    x = 1,413.06

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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.