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Finding the Fourth Proportional to 1,626.17, 2,438.83 and 651.74

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Solution

The fourth proportional to 1,626.17, 2,438.83 and 651.74 is: 977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.17 : 2,438.83 = 651.74 : x
  2. Step 2: Convert to fraction form
    1,626.17/2,438.83 = 651.74/x
  3. Step 3: Cross multiply
    1,626.17x = 2,438.83 × 651.74
  4. Step 4: Simplify right side
    1,626.17x = 1,589,483.06
  5. Step 5: Solve for x
    x = 1,589,483.06/1,626.17
  6. Step 6: Final answer
    x = 977.44

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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.