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Finding the Fourth Proportional to 2,071.02, 3,104.91 and 974.82

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Solution

The fourth proportional to 2,071.02, 3,104.91 and 974.82 is: 1,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.02 : 3,104.91 = 974.82 : x
  2. Step 2: Convert to fraction form
    2,071.02/3,104.91 = 974.82/x
  3. Step 3: Cross multiply
    2,071.02x = 3,104.91 × 974.82
  4. Step 4: Simplify right side
    2,071.02x = 3,026,728.37
  5. Step 5: Solve for x
    x = 3,026,728.37/2,071.02
  6. Step 6: Final answer
    x = 1,461.47

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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.