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Finding the Fourth Proportional to 1,592.37, 2,388.47 and 947.21

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Solution

The fourth proportional to 1,592.37, 2,388.47 and 947.21 is: 1,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.37 : 2,388.47 = 947.21 : x
  2. Step 2: Convert to fraction form
    1,592.37/2,388.47 = 947.21/x
  3. Step 3: Cross multiply
    1,592.37x = 2,388.47 × 947.21
  4. Step 4: Simplify right side
    1,592.37x = 2,262,365.99
  5. Step 5: Solve for x
    x = 2,262,365.99/1,592.37
  6. Step 6: Final answer
    x = 1,420.75

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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.