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Finding the Fourth Proportional to 2,051.71, 2,830.75 and 1,212.49

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Solution

The fourth proportional to 2,051.71, 2,830.75 and 1,212.49 is: 1,672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.71 : 2,830.75 = 1,212.49 : x
  2. Step 2: Convert to fraction form
    2,051.71/2,830.75 = 1,212.49/x
  3. Step 3: Cross multiply
    2,051.71x = 2,830.75 × 1,212.49
  4. Step 4: Simplify right side
    2,051.71x = 3,432,253.04
  5. Step 5: Solve for x
    x = 3,432,253.04/2,051.71
  6. Step 6: Final answer
    x = 1,672.87

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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.