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Finding the Fourth Proportional to 4,563.18, 6,842.70 and 1,641.50

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Solution

The fourth proportional to 4,563.18, 6,842.70 and 1,641.50 is: 2,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.18 : 6,842.70 = 1,641.50 : x
  2. Step 2: Convert to fraction form
    4,563.18/6,842.70 = 1,641.50/x
  3. Step 3: Cross multiply
    4,563.18x = 6,842.70 × 1,641.50
  4. Step 4: Simplify right side
    4,563.18x = 11,232,292.05
  5. Step 5: Solve for x
    x = 11,232,292.05/4,563.18
  6. Step 6: Final answer
    x = 2,461.51

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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.