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Finding the Fourth Proportional to 2,339.44, 3,509.36 and 673.60

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Solution

The fourth proportional to 2,339.44, 3,509.36 and 673.60 is: 1,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.44 : 3,509.36 = 673.60 : x
  2. Step 2: Convert to fraction form
    2,339.44/3,509.36 = 673.60/x
  3. Step 3: Cross multiply
    2,339.44x = 3,509.36 × 673.60
  4. Step 4: Simplify right side
    2,339.44x = 2,363,904.90
  5. Step 5: Solve for x
    x = 2,363,904.90/2,339.44
  6. Step 6: Final answer
    x = 1,010.46

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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.