Home / 1,727.96-2,384.78-1,029.32

Finding the Fourth Proportional to 1,727.96, 2,384.78 and 1,029.32

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Solution

The fourth proportional to 1,727.96, 2,384.78 and 1,029.32 is: 1,420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.96 : 2,384.78 = 1,029.32 : x
  2. Step 2: Convert to fraction form
    1,727.96/2,384.78 = 1,029.32/x
  3. Step 3: Cross multiply
    1,727.96x = 2,384.78 × 1,029.32
  4. Step 4: Simplify right side
    1,727.96x = 2,454,701.75
  5. Step 5: Solve for x
    x = 2,454,701.75/1,727.96
  6. Step 6: Final answer
    x = 1,420.58

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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.