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Finding the Fourth Proportional to 2,037.63, 3,056.44 and 739.10

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Solution

The fourth proportional to 2,037.63, 3,056.44 and 739.10 is: 1,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.63 : 3,056.44 = 739.10 : x
  2. Step 2: Convert to fraction form
    2,037.63/3,056.44 = 739.10/x
  3. Step 3: Cross multiply
    2,037.63x = 3,056.44 × 739.10
  4. Step 4: Simplify right side
    2,037.63x = 2,258,999.52
  5. Step 5: Solve for x
    x = 2,258,999.52/2,037.63
  6. Step 6: Final answer
    x = 1,108.64

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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.