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Finding the Fourth Proportional to 1,972.30, 2,684.52 and 1,972.30

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Solution

The fourth proportional to 1,972.30, 2,684.52 and 1,972.30 is: 2,684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.30 : 2,684.52 = 1,972.30 : x
  2. Step 2: Convert to fraction form
    1,972.30/2,684.52 = 1,972.30/x
  3. Step 3: Cross multiply
    1,972.30x = 2,684.52 × 1,972.30
  4. Step 4: Simplify right side
    1,972.30x = 5,294,678.80
  5. Step 5: Solve for x
    x = 5,294,678.80/1,972.30
  6. Step 6: Final answer
    x = 2,684.52

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.