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Finding the Fourth Proportional to 2,471.88, 3,708.52 and 1,237.80

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Solution

The fourth proportional to 2,471.88, 3,708.52 and 1,237.80 is: 1,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.88 : 3,708.52 = 1,237.80 : x
  2. Step 2: Convert to fraction form
    2,471.88/3,708.52 = 1,237.80/x
  3. Step 3: Cross multiply
    2,471.88x = 3,708.52 × 1,237.80
  4. Step 4: Simplify right side
    2,471.88x = 4,590,406.06
  5. Step 5: Solve for x
    x = 4,590,406.06/2,471.88
  6. Step 6: Final answer
    x = 1,857.05

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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.