Home / 1,762.25-2,431.68-1,016.24

Finding the Fourth Proportional to 1,762.25, 2,431.68 and 1,016.24

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Solution

The fourth proportional to 1,762.25, 2,431.68 and 1,016.24 is: 1,402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.25 : 2,431.68 = 1,016.24 : x
  2. Step 2: Convert to fraction form
    1,762.25/2,431.68 = 1,016.24/x
  3. Step 3: Cross multiply
    1,762.25x = 2,431.68 × 1,016.24
  4. Step 4: Simplify right side
    1,762.25x = 2,471,170.48
  5. Step 5: Solve for x
    x = 2,471,170.48/1,762.25
  6. Step 6: Final answer
    x = 1,402.28

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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.