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Finding the Fourth Proportional to 2,625.06, 3,937.20 and 981.30

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Solution

The fourth proportional to 2,625.06, 3,937.20 and 981.30 is: 1,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.06 : 3,937.20 = 981.30 : x
  2. Step 2: Convert to fraction form
    2,625.06/3,937.20 = 981.30/x
  3. Step 3: Cross multiply
    2,625.06x = 3,937.20 × 981.30
  4. Step 4: Simplify right side
    2,625.06x = 3,863,574.36
  5. Step 5: Solve for x
    x = 3,863,574.36/2,625.06
  6. Step 6: Final answer
    x = 1,471.80

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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.