Home / 2,128.12-3,194.34-974.68

Finding the Fourth Proportional to 2,128.12, 3,194.34 and 974.68

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Solution

The fourth proportional to 2,128.12, 3,194.34 and 974.68 is: 1,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.12 : 3,194.34 = 974.68 : x
  2. Step 2: Convert to fraction form
    2,128.12/3,194.34 = 974.68/x
  3. Step 3: Cross multiply
    2,128.12x = 3,194.34 × 974.68
  4. Step 4: Simplify right side
    2,128.12x = 3,113,459.31
  5. Step 5: Solve for x
    x = 3,113,459.31/2,128.12
  6. Step 6: Final answer
    x = 1,463.01

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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.