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Finding the Fourth Proportional to 2,599.73, 3,899.61 and 750.84

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Solution

The fourth proportional to 2,599.73, 3,899.61 and 750.84 is: 1,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.73 : 3,899.61 = 750.84 : x
  2. Step 2: Convert to fraction form
    2,599.73/3,899.61 = 750.84/x
  3. Step 3: Cross multiply
    2,599.73x = 3,899.61 × 750.84
  4. Step 4: Simplify right side
    2,599.73x = 2,927,968.55
  5. Step 5: Solve for x
    x = 2,927,968.55/2,599.73
  6. Step 6: Final answer
    x = 1,126.26

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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.