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Finding the Fourth Proportional to 2,876.68, 3,973.40 and 2,221.48

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Solution

The fourth proportional to 2,876.68, 3,973.40 and 2,221.48 is: 3,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.68 : 3,973.40 = 2,221.48 : x
  2. Step 2: Convert to fraction form
    2,876.68/3,973.40 = 2,221.48/x
  3. Step 3: Cross multiply
    2,876.68x = 3,973.40 × 2,221.48
  4. Step 4: Simplify right side
    2,876.68x = 8,826,828.63
  5. Step 5: Solve for x
    x = 8,826,828.63/2,876.68
  6. Step 6: Final answer
    x = 3,068.41

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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.