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Finding the Fourth Proportional to 2,709.46, 4,065.53 and 1,522.76

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Solution

The fourth proportional to 2,709.46, 4,065.53 and 1,522.76 is: 2,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.46 : 4,065.53 = 1,522.76 : x
  2. Step 2: Convert to fraction form
    2,709.46/4,065.53 = 1,522.76/x
  3. Step 3: Cross multiply
    2,709.46x = 4,065.53 × 1,522.76
  4. Step 4: Simplify right side
    2,709.46x = 6,190,826.46
  5. Step 5: Solve for x
    x = 6,190,826.46/2,709.46
  6. Step 6: Final answer
    x = 2,284.89

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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.