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Finding the Fourth Proportional to 2,081.70, 2,873.12 and 1,242.45

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Solution

The fourth proportional to 2,081.70, 2,873.12 and 1,242.45 is: 1,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.70 : 2,873.12 = 1,242.45 : x
  2. Step 2: Convert to fraction form
    2,081.70/2,873.12 = 1,242.45/x
  3. Step 3: Cross multiply
    2,081.70x = 2,873.12 × 1,242.45
  4. Step 4: Simplify right side
    2,081.70x = 3,569,687.37
  5. Step 5: Solve for x
    x = 3,569,687.37/2,081.70
  6. Step 6: Final answer
    x = 1,714.80

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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.