Home / 2,764.24-3,814.70-1,569.20

Finding the Fourth Proportional to 2,764.24, 3,814.70 and 1,569.20

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Solution

The fourth proportional to 2,764.24, 3,814.70 and 1,569.20 is: 2,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.24 : 3,814.70 = 1,569.20 : x
  2. Step 2: Convert to fraction form
    2,764.24/3,814.70 = 1,569.20/x
  3. Step 3: Cross multiply
    2,764.24x = 3,814.70 × 1,569.20
  4. Step 4: Simplify right side
    2,764.24x = 5,986,024.29
  5. Step 5: Solve for x
    x = 5,986,024.29/2,764.24
  6. Step 6: Final answer
    x = 2,165.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.