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Finding the Fourth Proportional to 1,980.74, 2,732.23 and 1,308.55

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Solution

The fourth proportional to 1,980.74, 2,732.23 and 1,308.55 is: 1,805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.74 : 2,732.23 = 1,308.55 : x
  2. Step 2: Convert to fraction form
    1,980.74/2,732.23 = 1,308.55/x
  3. Step 3: Cross multiply
    1,980.74x = 2,732.23 × 1,308.55
  4. Step 4: Simplify right side
    1,980.74x = 3,575,259.57
  5. Step 5: Solve for x
    x = 3,575,259.57/1,980.74
  6. Step 6: Final answer
    x = 1,805.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.