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Finding the Fourth Proportional to 1,785.06, 2,463.70 and 998.96

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Solution

The fourth proportional to 1,785.06, 2,463.70 and 998.96 is: 1,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.06 : 2,463.70 = 998.96 : x
  2. Step 2: Convert to fraction form
    1,785.06/2,463.70 = 998.96/x
  3. Step 3: Cross multiply
    1,785.06x = 2,463.70 × 998.96
  4. Step 4: Simplify right side
    1,785.06x = 2,461,137.75
  5. Step 5: Solve for x
    x = 2,461,137.75/1,785.06
  6. Step 6: Final answer
    x = 1,378.74

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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.