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Finding the Fourth Proportional to 2,654.04, 3,984.30 and 1,684.20

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Solution

The fourth proportional to 2,654.04, 3,984.30 and 1,684.20 is: 2,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.04 : 3,984.30 = 1,684.20 : x
  2. Step 2: Convert to fraction form
    2,654.04/3,984.30 = 1,684.20/x
  3. Step 3: Cross multiply
    2,654.04x = 3,984.30 × 1,684.20
  4. Step 4: Simplify right side
    2,654.04x = 6,710,358.06
  5. Step 5: Solve for x
    x = 6,710,358.06/2,654.04
  6. Step 6: Final answer
    x = 2,528.36

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