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Finding the Fourth Proportional to 2,234.34, 3,352.68 and 1,455.89

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Solution

The fourth proportional to 2,234.34, 3,352.68 and 1,455.89 is: 2,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.34 : 3,352.68 = 1,455.89 : x
  2. Step 2: Convert to fraction form
    2,234.34/3,352.68 = 1,455.89/x
  3. Step 3: Cross multiply
    2,234.34x = 3,352.68 × 1,455.89
  4. Step 4: Simplify right side
    2,234.34x = 4,881,133.29
  5. Step 5: Solve for x
    x = 4,881,133.29/2,234.34
  6. Step 6: Final answer
    x = 2,184.60

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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.