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Finding the Fourth Proportional to 1,980.26, 2,733.02 and 1,281.50

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Solution

The fourth proportional to 1,980.26, 2,733.02 and 1,281.50 is: 1,768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.26 : 2,733.02 = 1,281.50 : x
  2. Step 2: Convert to fraction form
    1,980.26/2,733.02 = 1,281.50/x
  3. Step 3: Cross multiply
    1,980.26x = 2,733.02 × 1,281.50
  4. Step 4: Simplify right side
    1,980.26x = 3,502,365.13
  5. Step 5: Solve for x
    x = 3,502,365.13/1,980.26
  6. Step 6: Final answer
    x = 1,768.64

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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.