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Finding the Fourth Proportional to 3,234.48, 4,852.53 and 925.98

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Solution

The fourth proportional to 3,234.48, 4,852.53 and 925.98 is: 1,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.48 : 4,852.53 = 925.98 : x
  2. Step 2: Convert to fraction form
    3,234.48/4,852.53 = 925.98/x
  3. Step 3: Cross multiply
    3,234.48x = 4,852.53 × 925.98
  4. Step 4: Simplify right side
    3,234.48x = 4,493,345.73
  5. Step 5: Solve for x
    x = 4,493,345.73/3,234.48
  6. Step 6: Final answer
    x = 1,389.20

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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.