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Finding the Fourth Proportional to 1,764.99, 2,436.48 and 1,270.08

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Solution

The fourth proportional to 1,764.99, 2,436.48 and 1,270.08 is: 1,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.99 : 2,436.48 = 1,270.08 : x
  2. Step 2: Convert to fraction form
    1,764.99/2,436.48 = 1,270.08/x
  3. Step 3: Cross multiply
    1,764.99x = 2,436.48 × 1,270.08
  4. Step 4: Simplify right side
    1,764.99x = 3,094,524.52
  5. Step 5: Solve for x
    x = 3,094,524.52/1,764.99
  6. Step 6: Final answer
    x = 1,753.28

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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.