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Finding the Fourth Proportional to 1,367.86, 2,050.86 and 783.52

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Solution

The fourth proportional to 1,367.86, 2,050.86 and 783.52 is: 1,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.86 : 2,050.86 = 783.52 : x
  2. Step 2: Convert to fraction form
    1,367.86/2,050.86 = 783.52/x
  3. Step 3: Cross multiply
    1,367.86x = 2,050.86 × 783.52
  4. Step 4: Simplify right side
    1,367.86x = 1,606,889.83
  5. Step 5: Solve for x
    x = 1,606,889.83/1,367.86
  6. Step 6: Final answer
    x = 1,174.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.