Home / 1,829.32-2,516.49-1,604.24

Finding the Fourth Proportional to 1,829.32, 2,516.49 and 1,604.24

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Solution

The fourth proportional to 1,829.32, 2,516.49 and 1,604.24 is: 2,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.32 : 2,516.49 = 1,604.24 : x
  2. Step 2: Convert to fraction form
    1,829.32/2,516.49 = 1,604.24/x
  3. Step 3: Cross multiply
    1,829.32x = 2,516.49 × 1,604.24
  4. Step 4: Simplify right side
    1,829.32x = 4,037,052.19
  5. Step 5: Solve for x
    x = 4,037,052.19/1,829.32
  6. Step 6: Final answer
    x = 2,206.86

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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.