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Finding the Fourth Proportional to 2,748.30, 4,123.14 and 800.51

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Solution

The fourth proportional to 2,748.30, 4,123.14 and 800.51 is: 1,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.30 : 4,123.14 = 800.51 : x
  2. Step 2: Convert to fraction form
    2,748.30/4,123.14 = 800.51/x
  3. Step 3: Cross multiply
    2,748.30x = 4,123.14 × 800.51
  4. Step 4: Simplify right side
    2,748.30x = 3,300,606.16
  5. Step 5: Solve for x
    x = 3,300,606.16/2,748.30
  6. Step 6: Final answer
    x = 1,200.96

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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.