Home / 1,692.24-2,335.26-946.20

Finding the Fourth Proportional to 1,692.24, 2,335.26 and 946.20

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Solution

The fourth proportional to 1,692.24, 2,335.26 and 946.20 is: 1,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.24 : 2,335.26 = 946.20 : x
  2. Step 2: Convert to fraction form
    1,692.24/2,335.26 = 946.20/x
  3. Step 3: Cross multiply
    1,692.24x = 2,335.26 × 946.20
  4. Step 4: Simplify right side
    1,692.24x = 2,209,623.01
  5. Step 5: Solve for x
    x = 2,209,623.01/1,692.24
  6. Step 6: Final answer
    x = 1,305.74

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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.