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Finding the Fourth Proportional to 2,339.76, 3,509.36 and 608.34

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Solution

The fourth proportional to 2,339.76, 3,509.36 and 608.34 is: 912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.76 : 3,509.36 = 608.34 : x
  2. Step 2: Convert to fraction form
    2,339.76/3,509.36 = 608.34/x
  3. Step 3: Cross multiply
    2,339.76x = 3,509.36 × 608.34
  4. Step 4: Simplify right side
    2,339.76x = 2,134,884.06
  5. Step 5: Solve for x
    x = 2,134,884.06/2,339.76
  6. Step 6: Final answer
    x = 912.44

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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.