Home / 1,829.51-2,524.85-1,022.00

Finding the Fourth Proportional to 1,829.51, 2,524.85 and 1,022.00

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Solution

The fourth proportional to 1,829.51, 2,524.85 and 1,022.00 is: 1,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.51 : 2,524.85 = 1,022.00 : x
  2. Step 2: Convert to fraction form
    1,829.51/2,524.85 = 1,022.00/x
  3. Step 3: Cross multiply
    1,829.51x = 2,524.85 × 1,022.00
  4. Step 4: Simplify right side
    1,829.51x = 2,580,378.97
  5. Step 5: Solve for x
    x = 2,580,378.97/1,829.51
  6. Step 6: Final answer
    x = 1,410.42

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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.