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Finding the Fourth Proportional to 1,391.70, 2,084.49 and 1,145.46

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Solution

The fourth proportional to 1,391.70, 2,084.49 and 1,145.46 is: 1,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.70 : 2,084.49 = 1,145.46 : x
  2. Step 2: Convert to fraction form
    1,391.70/2,084.49 = 1,145.46/x
  3. Step 3: Cross multiply
    1,391.70x = 2,084.49 × 1,145.46
  4. Step 4: Simplify right side
    1,391.70x = 2,387,699.92
  5. Step 5: Solve for x
    x = 2,387,699.92/1,391.70
  6. Step 6: Final answer
    x = 1,715.67

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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.