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Finding the Fourth Proportional to 3,252.11, 4,878.18 and 786.93

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Solution

The fourth proportional to 3,252.11, 4,878.18 and 786.93 is: 1,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.11 : 4,878.18 = 786.93 : x
  2. Step 2: Convert to fraction form
    3,252.11/4,878.18 = 786.93/x
  3. Step 3: Cross multiply
    3,252.11x = 4,878.18 × 786.93
  4. Step 4: Simplify right side
    3,252.11x = 3,838,762.88
  5. Step 5: Solve for x
    x = 3,838,762.88/3,252.11
  6. Step 6: Final answer
    x = 1,180.39

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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.