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Finding the Fourth Proportional to 1,499.44, 2,069.14 and 836.26

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Solution

The fourth proportional to 1,499.44, 2,069.14 and 836.26 is: 1,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.44 : 2,069.14 = 836.26 : x
  2. Step 2: Convert to fraction form
    1,499.44/2,069.14 = 836.26/x
  3. Step 3: Cross multiply
    1,499.44x = 2,069.14 × 836.26
  4. Step 4: Simplify right side
    1,499.44x = 1,730,339.02
  5. Step 5: Solve for x
    x = 1,730,339.02/1,499.44
  6. Step 6: Final answer
    x = 1,153.99

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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.