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Finding the Fourth Proportional to 2,989.64, 4,126.24 and 1,730.54

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Solution

The fourth proportional to 2,989.64, 4,126.24 and 1,730.54 is: 2,388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.64 : 4,126.24 = 1,730.54 : x
  2. Step 2: Convert to fraction form
    2,989.64/4,126.24 = 1,730.54/x
  3. Step 3: Cross multiply
    2,989.64x = 4,126.24 × 1,730.54
  4. Step 4: Simplify right side
    2,989.64x = 7,140,623.37
  5. Step 5: Solve for x
    x = 7,140,623.37/2,989.64
  6. Step 6: Final answer
    x = 2,388.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.