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Finding the Fourth Proportional to 1,980.02, 2,967.30 and 1,686

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Solution

The fourth proportional to 1,980.02, 2,967.30 and 1,686 is: 2,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.02 : 2,967.30 = 1,686 : x
  2. Step 2: Convert to fraction form
    1,980.02/2,967.30 = 1,686/x
  3. Step 3: Cross multiply
    1,980.02x = 2,967.30 × 1,686
  4. Step 4: Simplify right side
    1,980.02x = 5,002,867.80
  5. Step 5: Solve for x
    x = 5,002,867.80/1,980.02
  6. Step 6: Final answer
    x = 2,526.68

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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.