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Finding the Fourth Proportional to 1,563.33, 2,346.03 and 1,438.20

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Solution

The fourth proportional to 1,563.33, 2,346.03 and 1,438.20 is: 2,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.33 : 2,346.03 = 1,438.20 : x
  2. Step 2: Convert to fraction form
    1,563.33/2,346.03 = 1,438.20/x
  3. Step 3: Cross multiply
    1,563.33x = 2,346.03 × 1,438.20
  4. Step 4: Simplify right side
    1,563.33x = 3,374,060.35
  5. Step 5: Solve for x
    x = 3,374,060.35/1,563.33
  6. Step 6: Final answer
    x = 2,158.25

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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.