Home / 2,104.04-3,157.18-1,409

Finding the Fourth Proportional to 2,104.04, 3,157.18 and 1,409

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Solution

The fourth proportional to 2,104.04, 3,157.18 and 1,409 is: 2,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.04 : 3,157.18 = 1,409 : x
  2. Step 2: Convert to fraction form
    2,104.04/3,157.18 = 1,409/x
  3. Step 3: Cross multiply
    2,104.04x = 3,157.18 × 1,409
  4. Step 4: Simplify right side
    2,104.04x = 4,448,466.62
  5. Step 5: Solve for x
    x = 4,448,466.62/2,104.04
  6. Step 6: Final answer
    x = 2,114.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.