Home / 2,051.13-3,076.69-683.13

Finding the Fourth Proportional to 2,051.13, 3,076.69 and 683.13

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Solution

The fourth proportional to 2,051.13, 3,076.69 and 683.13 is: 1,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.13 : 3,076.69 = 683.13 : x
  2. Step 2: Convert to fraction form
    2,051.13/3,076.69 = 683.13/x
  3. Step 3: Cross multiply
    2,051.13x = 3,076.69 × 683.13
  4. Step 4: Simplify right side
    2,051.13x = 2,101,779.24
  5. Step 5: Solve for x
    x = 2,101,779.24/2,051.13
  6. Step 6: Final answer
    x = 1,024.69

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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.