Home / 1,582.41-2,183.67-919.23

Finding the Fourth Proportional to 1,582.41, 2,183.67 and 919.23

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Solution

The fourth proportional to 1,582.41, 2,183.67 and 919.23 is: 1,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.41 : 2,183.67 = 919.23 : x
  2. Step 2: Convert to fraction form
    1,582.41/2,183.67 = 919.23/x
  3. Step 3: Cross multiply
    1,582.41x = 2,183.67 × 919.23
  4. Step 4: Simplify right side
    1,582.41x = 2,007,294.97
  5. Step 5: Solve for x
    x = 2,007,294.97/1,582.41
  6. Step 6: Final answer
    x = 1,268.50

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1.5x scale

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.