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Finding the Fourth Proportional to 2,315.69, 3,194.89 and 1,320.77

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Solution

The fourth proportional to 2,315.69, 3,194.89 and 1,320.77 is: 1,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.69 : 3,194.89 = 1,320.77 : x
  2. Step 2: Convert to fraction form
    2,315.69/3,194.89 = 1,320.77/x
  3. Step 3: Cross multiply
    2,315.69x = 3,194.89 × 1,320.77
  4. Step 4: Simplify right side
    2,315.69x = 4,219,726.98
  5. Step 5: Solve for x
    x = 4,219,726.98/2,315.69
  6. Step 6: Final answer
    x = 1,822.23

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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.