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Finding the Fourth Proportional to 1,476.84, 2,211.60 and 858.67

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Solution

The fourth proportional to 1,476.84, 2,211.60 and 858.67 is: 1,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.84 : 2,211.60 = 858.67 : x
  2. Step 2: Convert to fraction form
    1,476.84/2,211.60 = 858.67/x
  3. Step 3: Cross multiply
    1,476.84x = 2,211.60 × 858.67
  4. Step 4: Simplify right side
    1,476.84x = 1,899,034.57
  5. Step 5: Solve for x
    x = 1,899,034.57/1,476.84
  6. Step 6: Final answer
    x = 1,285.88

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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.