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Finding the Fourth Proportional to 2,647.35, 3,970.58 and 981.29

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Solution

The fourth proportional to 2,647.35, 3,970.58 and 981.29 is: 1,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.35 : 3,970.58 = 981.29 : x
  2. Step 2: Convert to fraction form
    2,647.35/3,970.58 = 981.29/x
  3. Step 3: Cross multiply
    2,647.35x = 3,970.58 × 981.29
  4. Step 4: Simplify right side
    2,647.35x = 3,896,290.45
  5. Step 5: Solve for x
    x = 3,896,290.45/2,647.35
  6. Step 6: Final answer
    x = 1,471.77

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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.