Home / 2,022.25-3,032.76-705.64

Finding the Fourth Proportional to 2,022.25, 3,032.76 and 705.64

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Solution

The fourth proportional to 2,022.25, 3,032.76 and 705.64 is: 1,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.25 : 3,032.76 = 705.64 : x
  2. Step 2: Convert to fraction form
    2,022.25/3,032.76 = 705.64/x
  3. Step 3: Cross multiply
    2,022.25x = 3,032.76 × 705.64
  4. Step 4: Simplify right side
    2,022.25x = 2,140,036.77
  5. Step 5: Solve for x
    x = 2,140,036.77/2,022.25
  6. Step 6: Final answer
    x = 1,058.25

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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.