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Finding the Fourth Proportional to 1,491.15, 2,056.41 and 931.44

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Solution

The fourth proportional to 1,491.15, 2,056.41 and 931.44 is: 1,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.15 : 2,056.41 = 931.44 : x
  2. Step 2: Convert to fraction form
    1,491.15/2,056.41 = 931.44/x
  3. Step 3: Cross multiply
    1,491.15x = 2,056.41 × 931.44
  4. Step 4: Simplify right side
    1,491.15x = 1,915,422.53
  5. Step 5: Solve for x
    x = 1,915,422.53/1,491.15
  6. Step 6: Final answer
    x = 1,284.53

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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.