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Finding the Fourth Proportional to 2,044.49, 3,064.60 and 947.95

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Solution

The fourth proportional to 2,044.49, 3,064.60 and 947.95 is: 1,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.49 : 3,064.60 = 947.95 : x
  2. Step 2: Convert to fraction form
    2,044.49/3,064.60 = 947.95/x
  3. Step 3: Cross multiply
    2,044.49x = 3,064.60 × 947.95
  4. Step 4: Simplify right side
    2,044.49x = 2,905,087.57
  5. Step 5: Solve for x
    x = 2,905,087.57/2,044.49
  6. Step 6: Final answer
    x = 1,420.94

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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.