Home / 1,401.84-1,932.48-1,106.64

Finding the Fourth Proportional to 1,401.84, 1,932.48 and 1,106.64

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Solution

The fourth proportional to 1,401.84, 1,932.48 and 1,106.64 is: 1,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.84 : 1,932.48 = 1,106.64 : x
  2. Step 2: Convert to fraction form
    1,401.84/1,932.48 = 1,106.64/x
  3. Step 3: Cross multiply
    1,401.84x = 1,932.48 × 1,106.64
  4. Step 4: Simplify right side
    1,401.84x = 2,138,559.67
  5. Step 5: Solve for x
    x = 2,138,559.67/1,401.84
  6. Step 6: Final answer
    x = 1,525.54

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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.