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Finding the Fourth Proportional to 1,499.16, 2,068.84 and 836.14

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Solution

The fourth proportional to 1,499.16, 2,068.84 and 836.14 is: 1,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.16 : 2,068.84 = 836.14 : x
  2. Step 2: Convert to fraction form
    1,499.16/2,068.84 = 836.14/x
  3. Step 3: Cross multiply
    1,499.16x = 2,068.84 × 836.14
  4. Step 4: Simplify right side
    1,499.16x = 1,729,839.88
  5. Step 5: Solve for x
    x = 1,729,839.88/1,499.16
  6. Step 6: Final answer
    x = 1,153.87

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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.