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Finding the Fourth Proportional to 2,037.10, 3,056.85 and 738.40

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Solution

The fourth proportional to 2,037.10, 3,056.85 and 738.40 is: 1,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.10 : 3,056.85 = 738.40 : x
  2. Step 2: Convert to fraction form
    2,037.10/3,056.85 = 738.40/x
  3. Step 3: Cross multiply
    2,037.10x = 3,056.85 × 738.40
  4. Step 4: Simplify right side
    2,037.10x = 2,257,178.04
  5. Step 5: Solve for x
    x = 2,257,178.04/2,037.10
  6. Step 6: Final answer
    x = 1,108.03

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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.