Home / 2,916-4,024.32-1,657.46

Finding the Fourth Proportional to 2,916, 4,024.32 and 1,657.46

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Solution

The fourth proportional to 2,916, 4,024.32 and 1,657.46 is: 2,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916 : 4,024.32 = 1,657.46 : x
  2. Step 2: Convert to fraction form
    2,916/4,024.32 = 1,657.46/x
  3. Step 3: Cross multiply
    2,916x = 4,024.32 × 1,657.46
  4. Step 4: Simplify right side
    2,916x = 6,670,153.27
  5. Step 5: Solve for x
    x = 6,670,153.27/2,916
  6. Step 6: Final answer
    x = 2,287.43

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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.