Home / 1,769.16-2,441.24-1,023.01

Finding the Fourth Proportional to 1,769.16, 2,441.24 and 1,023.01

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Solution

The fourth proportional to 1,769.16, 2,441.24 and 1,023.01 is: 1,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.16 : 2,441.24 = 1,023.01 : x
  2. Step 2: Convert to fraction form
    1,769.16/2,441.24 = 1,023.01/x
  3. Step 3: Cross multiply
    1,769.16x = 2,441.24 × 1,023.01
  4. Step 4: Simplify right side
    1,769.16x = 2,497,409.39
  5. Step 5: Solve for x
    x = 2,497,409.39/1,769.16
  6. Step 6: Final answer
    x = 1,411.64

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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.