Home / 1,769.12-2,441.16-1,023.08

Finding the Fourth Proportional to 1,769.12, 2,441.16 and 1,023.08

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Solution

The fourth proportional to 1,769.12, 2,441.16 and 1,023.08 is: 1,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.12 : 2,441.16 = 1,023.08 : x
  2. Step 2: Convert to fraction form
    1,769.12/2,441.16 = 1,023.08/x
  3. Step 3: Cross multiply
    1,769.12x = 2,441.16 × 1,023.08
  4. Step 4: Simplify right side
    1,769.12x = 2,497,501.97
  5. Step 5: Solve for x
    x = 2,497,501.97/1,769.12
  6. Step 6: Final answer
    x = 1,411.72

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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.