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Finding the Fourth Proportional to 2,353.31, 3,529.94 and 598.32

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Solution

The fourth proportional to 2,353.31, 3,529.94 and 598.32 is: 897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.31 : 3,529.94 = 598.32 : x
  2. Step 2: Convert to fraction form
    2,353.31/3,529.94 = 598.32/x
  3. Step 3: Cross multiply
    2,353.31x = 3,529.94 × 598.32
  4. Step 4: Simplify right side
    2,353.31x = 2,112,021.21
  5. Step 5: Solve for x
    x = 2,112,021.21/2,353.31
  6. Step 6: Final answer
    x = 897.47

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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.