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Finding the Fourth Proportional to 2,914.70, 4,371.35 and 1,158.94

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Solution

The fourth proportional to 2,914.70, 4,371.35 and 1,158.94 is: 1,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.70 : 4,371.35 = 1,158.94 : x
  2. Step 2: Convert to fraction form
    2,914.70/4,371.35 = 1,158.94/x
  3. Step 3: Cross multiply
    2,914.70x = 4,371.35 × 1,158.94
  4. Step 4: Simplify right side
    2,914.70x = 5,066,115.65
  5. Step 5: Solve for x
    x = 5,066,115.65/2,914.70
  6. Step 6: Final answer
    x = 1,738.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.