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Finding the Fourth Proportional to 2,271.51, 3,408.13 and 885.82

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Solution

The fourth proportional to 2,271.51, 3,408.13 and 885.82 is: 1,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.51 : 3,408.13 = 885.82 : x
  2. Step 2: Convert to fraction form
    2,271.51/3,408.13 = 885.82/x
  3. Step 3: Cross multiply
    2,271.51x = 3,408.13 × 885.82
  4. Step 4: Simplify right side
    2,271.51x = 3,018,989.72
  5. Step 5: Solve for x
    x = 3,018,989.72/2,271.51
  6. Step 6: Final answer
    x = 1,329.07

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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.