Home / 1,954-2,931.72-1,029.52

Finding the Fourth Proportional to 1,954, 2,931.72 and 1,029.52

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Solution

The fourth proportional to 1,954, 2,931.72 and 1,029.52 is: 1,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954 : 2,931.72 = 1,029.52 : x
  2. Step 2: Convert to fraction form
    1,954/2,931.72 = 1,029.52/x
  3. Step 3: Cross multiply
    1,954x = 2,931.72 × 1,029.52
  4. Step 4: Simplify right side
    1,954x = 3,018,264.37
  5. Step 5: Solve for x
    x = 3,018,264.37/1,954
  6. Step 6: Final answer
    x = 1,544.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.