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Finding the Fourth Proportional to 1,746.22, 2,619.78 and 513.67

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Solution

The fourth proportional to 1,746.22, 2,619.78 and 513.67 is: 770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.22 : 2,619.78 = 513.67 : x
  2. Step 2: Convert to fraction form
    1,746.22/2,619.78 = 513.67/x
  3. Step 3: Cross multiply
    1,746.22x = 2,619.78 × 513.67
  4. Step 4: Simplify right side
    1,746.22x = 1,345,702.39
  5. Step 5: Solve for x
    x = 1,345,702.39/1,746.22
  6. Step 6: Final answer
    x = 770.64

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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.