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Finding the Fourth Proportional to 2,504.46, 3,756.01 and 749.40

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Solution

The fourth proportional to 2,504.46, 3,756.01 and 749.40 is: 1,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.46 : 3,756.01 = 749.40 : x
  2. Step 2: Convert to fraction form
    2,504.46/3,756.01 = 749.40/x
  3. Step 3: Cross multiply
    2,504.46x = 3,756.01 × 749.40
  4. Step 4: Simplify right side
    2,504.46x = 2,814,753.89
  5. Step 5: Solve for x
    x = 2,814,753.89/2,504.46
  6. Step 6: Final answer
    x = 1,123.90

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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.