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Finding the Fourth Proportional to 2,359.94, 3,539.19 and 628.34

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Solution

The fourth proportional to 2,359.94, 3,539.19 and 628.34 is: 942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.94 : 3,539.19 = 628.34 : x
  2. Step 2: Convert to fraction form
    2,359.94/3,539.19 = 628.34/x
  3. Step 3: Cross multiply
    2,359.94x = 3,539.19 × 628.34
  4. Step 4: Simplify right side
    2,359.94x = 2,223,814.64
  5. Step 5: Solve for x
    x = 2,223,814.64/2,359.94
  6. Step 6: Final answer
    x = 942.32

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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.