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Finding the Fourth Proportional to 2,748.89, 4,123.96 and 900.16

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Solution

The fourth proportional to 2,748.89, 4,123.96 and 900.16 is: 1,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.89 : 4,123.96 = 900.16 : x
  2. Step 2: Convert to fraction form
    2,748.89/4,123.96 = 900.16/x
  3. Step 3: Cross multiply
    2,748.89x = 4,123.96 × 900.16
  4. Step 4: Simplify right side
    2,748.89x = 3,712,239.53
  5. Step 5: Solve for x
    x = 3,712,239.53/2,748.89
  6. Step 6: Final answer
    x = 1,350.45

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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.