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Finding the Fourth Proportional to 1,337.94, 2,004.67 and 947.09

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Solution

The fourth proportional to 1,337.94, 2,004.67 and 947.09 is: 1,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.94 : 2,004.67 = 947.09 : x
  2. Step 2: Convert to fraction form
    1,337.94/2,004.67 = 947.09/x
  3. Step 3: Cross multiply
    1,337.94x = 2,004.67 × 947.09
  4. Step 4: Simplify right side
    1,337.94x = 1,898,611.77
  5. Step 5: Solve for x
    x = 1,898,611.77/1,337.94
  6. Step 6: Final answer
    x = 1,419.05

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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.