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Finding the Fourth Proportional to 2,400.17, 3,598.11 and 940.34

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Solution

The fourth proportional to 2,400.17, 3,598.11 and 940.34 is: 1,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.17 : 3,598.11 = 940.34 : x
  2. Step 2: Convert to fraction form
    2,400.17/3,598.11 = 940.34/x
  3. Step 3: Cross multiply
    2,400.17x = 3,598.11 × 940.34
  4. Step 4: Simplify right side
    2,400.17x = 3,383,428.77
  5. Step 5: Solve for x
    x = 3,383,428.77/2,400.17
  6. Step 6: Final answer
    x = 1,409.67

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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.