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Finding the Fourth Proportional to 1,770.60, 2,440.26 and 1,440.12

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Solution

The fourth proportional to 1,770.60, 2,440.26 and 1,440.12 is: 1,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.60 : 2,440.26 = 1,440.12 : x
  2. Step 2: Convert to fraction form
    1,770.60/2,440.26 = 1,440.12/x
  3. Step 3: Cross multiply
    1,770.60x = 2,440.26 × 1,440.12
  4. Step 4: Simplify right side
    1,770.60x = 3,514,267.23
  5. Step 5: Solve for x
    x = 3,514,267.23/1,770.60
  6. Step 6: Final answer
    x = 1,984.79

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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.