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Finding the Fourth Proportional to 2,922.27, 4,381.78 and 973.41

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Solution

The fourth proportional to 2,922.27, 4,381.78 and 973.41 is: 1,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.27 : 4,381.78 = 973.41 : x
  2. Step 2: Convert to fraction form
    2,922.27/4,381.78 = 973.41/x
  3. Step 3: Cross multiply
    2,922.27x = 4,381.78 × 973.41
  4. Step 4: Simplify right side
    2,922.27x = 4,265,268.47
  5. Step 5: Solve for x
    x = 4,265,268.47/2,922.27
  6. Step 6: Final answer
    x = 1,459.57

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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.