Home / 2,109.96-3,164.40-1,416.24

Finding the Fourth Proportional to 2,109.96, 3,164.40 and 1,416.24

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Solution

The fourth proportional to 2,109.96, 3,164.40 and 1,416.24 is: 2,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.96 : 3,164.40 = 1,416.24 : x
  2. Step 2: Convert to fraction form
    2,109.96/3,164.40 = 1,416.24/x
  3. Step 3: Cross multiply
    2,109.96x = 3,164.40 × 1,416.24
  4. Step 4: Simplify right side
    2,109.96x = 4,481,549.86
  5. Step 5: Solve for x
    x = 4,481,549.86/2,109.96
  6. Step 6: Final answer
    x = 2,124.00

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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.