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Finding the Fourth Proportional to 2,748.90, 4,123.62 and 899.94

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Solution

The fourth proportional to 2,748.90, 4,123.62 and 899.94 is: 1,350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.90 : 4,123.62 = 899.94 : x
  2. Step 2: Convert to fraction form
    2,748.90/4,123.62 = 899.94/x
  3. Step 3: Cross multiply
    2,748.90x = 4,123.62 × 899.94
  4. Step 4: Simplify right side
    2,748.90x = 3,711,010.58
  5. Step 5: Solve for x
    x = 3,711,010.58/2,748.90
  6. Step 6: Final answer
    x = 1,350.00

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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.