Home / 1,523.58-2,102.40-933.99

Finding the Fourth Proportional to 1,523.58, 2,102.40 and 933.99

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Solution

The fourth proportional to 1,523.58, 2,102.40 and 933.99 is: 1,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.58 : 2,102.40 = 933.99 : x
  2. Step 2: Convert to fraction form
    1,523.58/2,102.40 = 933.99/x
  3. Step 3: Cross multiply
    1,523.58x = 2,102.40 × 933.99
  4. Step 4: Simplify right side
    1,523.58x = 1,963,620.58
  5. Step 5: Solve for x
    x = 1,963,620.58/1,523.58
  6. Step 6: Final answer
    x = 1,288.82

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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.