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Finding the Fourth Proportional to 2,182.75, 3,010.20 and 1,624.63

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Solution

The fourth proportional to 2,182.75, 3,010.20 and 1,624.63 is: 2,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.75 : 3,010.20 = 1,624.63 : x
  2. Step 2: Convert to fraction form
    2,182.75/3,010.20 = 1,624.63/x
  3. Step 3: Cross multiply
    2,182.75x = 3,010.20 × 1,624.63
  4. Step 4: Simplify right side
    2,182.75x = 4,890,461.23
  5. Step 5: Solve for x
    x = 4,890,461.23/2,182.75
  6. Step 6: Final answer
    x = 2,240.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.