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Finding the Fourth Proportional to 3,234.98, 4,854.80 and 1,592.01

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Solution

The fourth proportional to 3,234.98, 4,854.80 and 1,592.01 is: 2,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.98 : 4,854.80 = 1,592.01 : x
  2. Step 2: Convert to fraction form
    3,234.98/4,854.80 = 1,592.01/x
  3. Step 3: Cross multiply
    3,234.98x = 4,854.80 × 1,592.01
  4. Step 4: Simplify right side
    3,234.98x = 7,728,894.13
  5. Step 5: Solve for x
    x = 7,728,894.13/3,234.98
  6. Step 6: Final answer
    x = 2,389.16

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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.