Home / 1,642.19-2,266.24-896.16

Finding the Fourth Proportional to 1,642.19, 2,266.24 and 896.16

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Solution

The fourth proportional to 1,642.19, 2,266.24 and 896.16 is: 1,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.19 : 2,266.24 = 896.16 : x
  2. Step 2: Convert to fraction form
    1,642.19/2,266.24 = 896.16/x
  3. Step 3: Cross multiply
    1,642.19x = 2,266.24 × 896.16
  4. Step 4: Simplify right side
    1,642.19x = 2,030,911.40
  5. Step 5: Solve for x
    x = 2,030,911.40/1,642.19
  6. Step 6: Final answer
    x = 1,236.71

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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.