Home / 2,082.40-2,873.28-1,584.16

Finding the Fourth Proportional to 2,082.40, 2,873.28 and 1,584.16

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Solution

The fourth proportional to 2,082.40, 2,873.28 and 1,584.16 is: 2,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.40 : 2,873.28 = 1,584.16 : x
  2. Step 2: Convert to fraction form
    2,082.40/2,873.28 = 1,584.16/x
  3. Step 3: Cross multiply
    2,082.40x = 2,873.28 × 1,584.16
  4. Step 4: Simplify right side
    2,082.40x = 4,551,735.24
  5. Step 5: Solve for x
    x = 4,551,735.24/2,082.40
  6. Step 6: Final answer
    x = 2,185.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.