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Finding the Fourth Proportional to 2,330.19, 3,495.22 and 1,096.90

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Solution

The fourth proportional to 2,330.19, 3,495.22 and 1,096.90 is: 1,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.19 : 3,495.22 = 1,096.90 : x
  2. Step 2: Convert to fraction form
    2,330.19/3,495.22 = 1,096.90/x
  3. Step 3: Cross multiply
    2,330.19x = 3,495.22 × 1,096.90
  4. Step 4: Simplify right side
    2,330.19x = 3,833,895.34
  5. Step 5: Solve for x
    x = 3,833,895.34/2,330.19
  6. Step 6: Final answer
    x = 1,645.31

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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.