Home / 2,567.74-3,849.87-1,006.77

Finding the Fourth Proportional to 2,567.74, 3,849.87 and 1,006.77

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Solution

The fourth proportional to 2,567.74, 3,849.87 and 1,006.77 is: 1,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.74 : 3,849.87 = 1,006.77 : x
  2. Step 2: Convert to fraction form
    2,567.74/3,849.87 = 1,006.77/x
  3. Step 3: Cross multiply
    2,567.74x = 3,849.87 × 1,006.77
  4. Step 4: Simplify right side
    2,567.74x = 3,875,914.37
  5. Step 5: Solve for x
    x = 3,875,914.37/2,567.74
  6. Step 6: Final answer
    x = 1,509.47

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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.