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Finding the Fourth Proportional to 2,621.58, 3,931.60 and 772.34

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Solution

The fourth proportional to 2,621.58, 3,931.60 and 772.34 is: 1,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.58 : 3,931.60 = 772.34 : x
  2. Step 2: Convert to fraction form
    2,621.58/3,931.60 = 772.34/x
  3. Step 3: Cross multiply
    2,621.58x = 3,931.60 × 772.34
  4. Step 4: Simplify right side
    2,621.58x = 3,036,531.94
  5. Step 5: Solve for x
    x = 3,036,531.94/2,621.58
  6. Step 6: Final answer
    x = 1,158.28

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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.