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Finding the Fourth Proportional to 1,346.31, 2,019.21 and 359.13

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Solution

The fourth proportional to 1,346.31, 2,019.21 and 359.13 is: 538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.31 : 2,019.21 = 359.13 : x
  2. Step 2: Convert to fraction form
    1,346.31/2,019.21 = 359.13/x
  3. Step 3: Cross multiply
    1,346.31x = 2,019.21 × 359.13
  4. Step 4: Simplify right side
    1,346.31x = 725,158.89
  5. Step 5: Solve for x
    x = 725,158.89/1,346.31
  6. Step 6: Final answer
    x = 538.63

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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.