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Finding the Fourth Proportional to 1,735.40, 2,606.70 and 1,674.20

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Solution

The fourth proportional to 1,735.40, 2,606.70 and 1,674.20 is: 2,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.40 : 2,606.70 = 1,674.20 : x
  2. Step 2: Convert to fraction form
    1,735.40/2,606.70 = 1,674.20/x
  3. Step 3: Cross multiply
    1,735.40x = 2,606.70 × 1,674.20
  4. Step 4: Simplify right side
    1,735.40x = 4,364,137.14
  5. Step 5: Solve for x
    x = 4,364,137.14/1,735.40
  6. Step 6: Final answer
    x = 2,514.77

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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.