Home / 1,949.08-2,924.70-1,024.78

Finding the Fourth Proportional to 1,949.08, 2,924.70 and 1,024.78

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Solution

The fourth proportional to 1,949.08, 2,924.70 and 1,024.78 is: 1,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.08 : 2,924.70 = 1,024.78 : x
  2. Step 2: Convert to fraction form
    1,949.08/2,924.70 = 1,024.78/x
  3. Step 3: Cross multiply
    1,949.08x = 2,924.70 × 1,024.78
  4. Step 4: Simplify right side
    1,949.08x = 2,997,174.07
  5. Step 5: Solve for x
    x = 2,997,174.07/1,949.08
  6. Step 6: Final answer
    x = 1,537.74

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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.