Home / 1,438.49-1,983.56-1,106.19

Finding the Fourth Proportional to 1,438.49, 1,983.56 and 1,106.19

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Solution

The fourth proportional to 1,438.49, 1,983.56 and 1,106.19 is: 1,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.49 : 1,983.56 = 1,106.19 : x
  2. Step 2: Convert to fraction form
    1,438.49/1,983.56 = 1,106.19/x
  3. Step 3: Cross multiply
    1,438.49x = 1,983.56 × 1,106.19
  4. Step 4: Simplify right side
    1,438.49x = 2,194,188.71
  5. Step 5: Solve for x
    x = 2,194,188.71/1,438.49
  6. Step 6: Final answer
    x = 1,525.34

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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.