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Finding the Fourth Proportional to 2,501.60, 3,754.25 and 1,203.98

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Solution

The fourth proportional to 2,501.60, 3,754.25 and 1,203.98 is: 1,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.60 : 3,754.25 = 1,203.98 : x
  2. Step 2: Convert to fraction form
    2,501.60/3,754.25 = 1,203.98/x
  3. Step 3: Cross multiply
    2,501.60x = 3,754.25 × 1,203.98
  4. Step 4: Simplify right side
    2,501.60x = 4,520,017.12
  5. Step 5: Solve for x
    x = 4,520,017.12/2,501.60
  6. Step 6: Final answer
    x = 1,806.85

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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.