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Finding the Fourth Proportional to 3,200.34, 4,798.53 and 1,250.25

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Solution

The fourth proportional to 3,200.34, 4,798.53 and 1,250.25 is: 1,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.34 : 4,798.53 = 1,250.25 : x
  2. Step 2: Convert to fraction form
    3,200.34/4,798.53 = 1,250.25/x
  3. Step 3: Cross multiply
    3,200.34x = 4,798.53 × 1,250.25
  4. Step 4: Simplify right side
    3,200.34x = 5,999,362.13
  5. Step 5: Solve for x
    x = 5,999,362.13/3,200.34
  6. Step 6: Final answer
    x = 1,874.60

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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.