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Finding the Fourth Proportional to 2,621.29, 3,931.77 and 772.51

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Solution

The fourth proportional to 2,621.29, 3,931.77 and 772.51 is: 1,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.29 : 3,931.77 = 772.51 : x
  2. Step 2: Convert to fraction form
    2,621.29/3,931.77 = 772.51/x
  3. Step 3: Cross multiply
    2,621.29x = 3,931.77 × 772.51
  4. Step 4: Simplify right side
    2,621.29x = 3,037,331.64
  5. Step 5: Solve for x
    x = 3,037,331.64/2,621.29
  6. Step 6: Final answer
    x = 1,158.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.