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Finding the Fourth Proportional to 2,415.82, 3,625.34 and 876.82

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Solution

The fourth proportional to 2,415.82, 3,625.34 and 876.82 is: 1,315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.82 : 3,625.34 = 876.82 : x
  2. Step 2: Convert to fraction form
    2,415.82/3,625.34 = 876.82/x
  3. Step 3: Cross multiply
    2,415.82x = 3,625.34 × 876.82
  4. Step 4: Simplify right side
    2,415.82x = 3,178,752.49
  5. Step 5: Solve for x
    x = 3,178,752.49/2,415.82
  6. Step 6: Final answer
    x = 1,315.81

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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.