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Finding the Fourth Proportional to 1,519.13, 2,096.33 and 846.91

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Solution

The fourth proportional to 1,519.13, 2,096.33 and 846.91 is: 1,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.13 : 2,096.33 = 846.91 : x
  2. Step 2: Convert to fraction form
    1,519.13/2,096.33 = 846.91/x
  3. Step 3: Cross multiply
    1,519.13x = 2,096.33 × 846.91
  4. Step 4: Simplify right side
    1,519.13x = 1,775,402.84
  5. Step 5: Solve for x
    x = 1,775,402.84/1,519.13
  6. Step 6: Final answer
    x = 1,168.70

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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.