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Finding the Fourth Proportional to 1,378.47, 2,063.08 and 1,264.67

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Solution

The fourth proportional to 1,378.47, 2,063.08 and 1,264.67 is: 1,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.47 : 2,063.08 = 1,264.67 : x
  2. Step 2: Convert to fraction form
    1,378.47/2,063.08 = 1,264.67/x
  3. Step 3: Cross multiply
    1,378.47x = 2,063.08 × 1,264.67
  4. Step 4: Simplify right side
    1,378.47x = 2,609,115.38
  5. Step 5: Solve for x
    x = 2,609,115.38/1,378.47
  6. Step 6: Final answer
    x = 1,892.76

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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.