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Finding the Fourth Proportional to 4,650.54, 6,976.48 and 1,689.18

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Solution

The fourth proportional to 4,650.54, 6,976.48 and 1,689.18 is: 2,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.54 : 6,976.48 = 1,689.18 : x
  2. Step 2: Convert to fraction form
    4,650.54/6,976.48 = 1,689.18/x
  3. Step 3: Cross multiply
    4,650.54x = 6,976.48 × 1,689.18
  4. Step 4: Simplify right side
    4,650.54x = 11,784,530.49
  5. Step 5: Solve for x
    x = 11,784,530.49/4,650.54
  6. Step 6: Final answer
    x = 2,534.01

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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.