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Finding the Fourth Proportional to 2,912.63, 4,368.96 and 721.35

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Solution

The fourth proportional to 2,912.63, 4,368.96 and 721.35 is: 1,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.63 : 4,368.96 = 721.35 : x
  2. Step 2: Convert to fraction form
    2,912.63/4,368.96 = 721.35/x
  3. Step 3: Cross multiply
    2,912.63x = 4,368.96 × 721.35
  4. Step 4: Simplify right side
    2,912.63x = 3,151,549.30
  5. Step 5: Solve for x
    x = 3,151,549.30/2,912.63
  6. Step 6: Final answer
    x = 1,082.03

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Why These Related Problems?

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