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Finding the Fourth Proportional to 2,886.72, 3,985.56 and 2,222.34

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Solution

The fourth proportional to 2,886.72, 3,985.56 and 2,222.34 is: 3,068.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.72 : 3,985.56 = 2,222.34 : x
  2. Step 2: Convert to fraction form
    2,886.72/3,985.56 = 2,222.34/x
  3. Step 3: Cross multiply
    2,886.72x = 3,985.56 × 2,222.34
  4. Step 4: Simplify right side
    2,886.72x = 8,857,269.41
  5. Step 5: Solve for x
    x = 8,857,269.41/2,886.72
  6. Step 6: Final answer
    x = 3,068.28

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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.