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Finding the Fourth Proportional to 1,605.15, 2,406.89 and 947.22

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Solution

The fourth proportional to 1,605.15, 2,406.89 and 947.22 is: 1,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.15 : 2,406.89 = 947.22 : x
  2. Step 2: Convert to fraction form
    1,605.15/2,406.89 = 947.22/x
  3. Step 3: Cross multiply
    1,605.15x = 2,406.89 × 947.22
  4. Step 4: Simplify right side
    1,605.15x = 2,279,849.61
  5. Step 5: Solve for x
    x = 2,279,849.61/1,605.15
  6. Step 6: Final answer
    x = 1,420.33

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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.