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Finding the Fourth Proportional to 1,457.88, 2,011.87 and 794.69

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Solution

The fourth proportional to 1,457.88, 2,011.87 and 794.69 is: 1,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.88 : 2,011.87 = 794.69 : x
  2. Step 2: Convert to fraction form
    1,457.88/2,011.87 = 794.69/x
  3. Step 3: Cross multiply
    1,457.88x = 2,011.87 × 794.69
  4. Step 4: Simplify right side
    1,457.88x = 1,598,812.97
  5. Step 5: Solve for x
    x = 1,598,812.97/1,457.88
  6. Step 6: Final answer
    x = 1,096.67

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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.