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Finding the Fourth Proportional to 2,405.34, 3,609.54 and 866.34

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Solution

The fourth proportional to 2,405.34, 3,609.54 and 866.34 is: 1,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.34 : 3,609.54 = 866.34 : x
  2. Step 2: Convert to fraction form
    2,405.34/3,609.54 = 866.34/x
  3. Step 3: Cross multiply
    2,405.34x = 3,609.54 × 866.34
  4. Step 4: Simplify right side
    2,405.34x = 3,127,088.88
  5. Step 5: Solve for x
    x = 3,127,088.88/2,405.34
  6. Step 6: Final answer
    x = 1,300.06

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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.