Home / 1,523.77-2,102.44-926.25

Finding the Fourth Proportional to 1,523.77, 2,102.44 and 926.25

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Solution

The fourth proportional to 1,523.77, 2,102.44 and 926.25 is: 1,278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.77 : 2,102.44 = 926.25 : x
  2. Step 2: Convert to fraction form
    1,523.77/2,102.44 = 926.25/x
  3. Step 3: Cross multiply
    1,523.77x = 2,102.44 × 926.25
  4. Step 4: Simplify right side
    1,523.77x = 1,947,385.05
  5. Step 5: Solve for x
    x = 1,947,385.05/1,523.77
  6. Step 6: Final answer
    x = 1,278.00

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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.