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Finding the Fourth Proportional to 1,771.09, 2,444.10 and 974.41

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Solution

The fourth proportional to 1,771.09, 2,444.10 and 974.41 is: 1,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.09 : 2,444.10 = 974.41 : x
  2. Step 2: Convert to fraction form
    1,771.09/2,444.10 = 974.41/x
  3. Step 3: Cross multiply
    1,771.09x = 2,444.10 × 974.41
  4. Step 4: Simplify right side
    1,771.09x = 2,381,555.48
  5. Step 5: Solve for x
    x = 2,381,555.48/1,771.09
  6. Step 6: Final answer
    x = 1,344.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.