Home / 1,657.28-2,283.18-1,364.24

Finding the Fourth Proportional to 1,657.28, 2,283.18 and 1,364.24

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Solution

The fourth proportional to 1,657.28, 2,283.18 and 1,364.24 is: 1,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.28 : 2,283.18 = 1,364.24 : x
  2. Step 2: Convert to fraction form
    1,657.28/2,283.18 = 1,364.24/x
  3. Step 3: Cross multiply
    1,657.28x = 2,283.18 × 1,364.24
  4. Step 4: Simplify right side
    1,657.28x = 3,114,805.48
  5. Step 5: Solve for x
    x = 3,114,805.48/1,657.28
  6. Step 6: Final answer
    x = 1,879.47

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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.