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Finding the Fourth Proportional to 2,800, 4,204.80 and 2,654.08

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Solution

The fourth proportional to 2,800, 4,204.80 and 2,654.08 is: 3,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800 : 4,204.80 = 2,654.08 : x
  2. Step 2: Convert to fraction form
    2,800/4,204.80 = 2,654.08/x
  3. Step 3: Cross multiply
    2,800x = 4,204.80 × 2,654.08
  4. Step 4: Simplify right side
    2,800x = 11,159,875.58
  5. Step 5: Solve for x
    x = 11,159,875.58/2,800
  6. Step 6: Final answer
    x = 3,985.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.