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Finding the Fourth Proportional to 2,699.98, 3,725.94 and 1,581.50

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Solution

The fourth proportional to 2,699.98, 3,725.94 and 1,581.50 is: 2,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.98 : 3,725.94 = 1,581.50 : x
  2. Step 2: Convert to fraction form
    2,699.98/3,725.94 = 1,581.50/x
  3. Step 3: Cross multiply
    2,699.98x = 3,725.94 × 1,581.50
  4. Step 4: Simplify right side
    2,699.98x = 5,892,563.52
  5. Step 5: Solve for x
    x = 5,892,563.52/2,699.98
  6. Step 6: Final answer
    x = 2,182.45

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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.