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Finding the Fourth Proportional to 2,101.72, 2,888.45 and 2,043.40

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Solution

The fourth proportional to 2,101.72, 2,888.45 and 2,043.40 is: 2,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.72 : 2,888.45 = 2,043.40 : x
  2. Step 2: Convert to fraction form
    2,101.72/2,888.45 = 2,043.40/x
  3. Step 3: Cross multiply
    2,101.72x = 2,888.45 × 2,043.40
  4. Step 4: Simplify right side
    2,101.72x = 5,902,258.73
  5. Step 5: Solve for x
    x = 5,902,258.73/2,101.72
  6. Step 6: Final answer
    x = 2,808.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.