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Finding the Fourth Proportional to 2,703.06, 4,052.79 and 971.46

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Solution

The fourth proportional to 2,703.06, 4,052.79 and 971.46 is: 1,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.06 : 4,052.79 = 971.46 : x
  2. Step 2: Convert to fraction form
    2,703.06/4,052.79 = 971.46/x
  3. Step 3: Cross multiply
    2,703.06x = 4,052.79 × 971.46
  4. Step 4: Simplify right side
    2,703.06x = 3,937,123.37
  5. Step 5: Solve for x
    x = 3,937,123.37/2,703.06
  6. Step 6: Final answer
    x = 1,456.54

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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.