Home / 2,024-2,792.32-1,277.68

Finding the Fourth Proportional to 2,024, 2,792.32 and 1,277.68

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Solution

The fourth proportional to 2,024, 2,792.32 and 1,277.68 is: 1,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024 : 2,792.32 = 1,277.68 : x
  2. Step 2: Convert to fraction form
    2,024/2,792.32 = 1,277.68/x
  3. Step 3: Cross multiply
    2,024x = 2,792.32 × 1,277.68
  4. Step 4: Simplify right side
    2,024x = 3,567,691.42
  5. Step 5: Solve for x
    x = 3,567,691.42/2,024
  6. Step 6: Final answer
    x = 1,762.69

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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.