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Finding the Fourth Proportional to 1,769.36, 2,636.26 and 1,670

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Solution

The fourth proportional to 1,769.36, 2,636.26 and 1,670 is: 2,488.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.36 : 2,636.26 = 1,670 : x
  2. Step 2: Convert to fraction form
    1,769.36/2,636.26 = 1,670/x
  3. Step 3: Cross multiply
    1,769.36x = 2,636.26 × 1,670
  4. Step 4: Simplify right side
    1,769.36x = 4,402,554.20
  5. Step 5: Solve for x
    x = 4,402,554.20/1,769.36
  6. Step 6: Final answer
    x = 2,488.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.