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Finding the Fourth Proportional to 2,621.16, 3,931.56 and 772.26

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Solution

The fourth proportional to 2,621.16, 3,931.56 and 772.26 is: 1,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.16 : 3,931.56 = 772.26 : x
  2. Step 2: Convert to fraction form
    2,621.16/3,931.56 = 772.26/x
  3. Step 3: Cross multiply
    2,621.16x = 3,931.56 × 772.26
  4. Step 4: Simplify right side
    2,621.16x = 3,036,186.53
  5. Step 5: Solve for x
    x = 3,036,186.53/2,621.16
  6. Step 6: Final answer
    x = 1,158.34

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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.