Home / 2,074.14-3,111.27-535.14

Finding the Fourth Proportional to 2,074.14, 3,111.27 and 535.14

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Solution

The fourth proportional to 2,074.14, 3,111.27 and 535.14 is: 802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.14 : 3,111.27 = 535.14 : x
  2. Step 2: Convert to fraction form
    2,074.14/3,111.27 = 535.14/x
  3. Step 3: Cross multiply
    2,074.14x = 3,111.27 × 535.14
  4. Step 4: Simplify right side
    2,074.14x = 1,664,965.03
  5. Step 5: Solve for x
    x = 1,664,965.03/2,074.14
  6. Step 6: Final answer
    x = 802.73

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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.