Home / 2,014.90-3,022.12-974.03

Finding the Fourth Proportional to 2,014.90, 3,022.12 and 974.03

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Solution

The fourth proportional to 2,014.90, 3,022.12 and 974.03 is: 1,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.90 : 3,022.12 = 974.03 : x
  2. Step 2: Convert to fraction form
    2,014.90/3,022.12 = 974.03/x
  3. Step 3: Cross multiply
    2,014.90x = 3,022.12 × 974.03
  4. Step 4: Simplify right side
    2,014.90x = 2,943,625.55
  5. Step 5: Solve for x
    x = 2,943,625.55/2,014.90
  6. Step 6: Final answer
    x = 1,460.93

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1.5x scale

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.