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Finding the Fourth Proportional to 3,037.18, 4,555.76 and 845.90

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Solution

The fourth proportional to 3,037.18, 4,555.76 and 845.90 is: 1,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.18 : 4,555.76 = 845.90 : x
  2. Step 2: Convert to fraction form
    3,037.18/4,555.76 = 845.90/x
  3. Step 3: Cross multiply
    3,037.18x = 4,555.76 × 845.90
  4. Step 4: Simplify right side
    3,037.18x = 3,853,719.50
  5. Step 5: Solve for x
    x = 3,853,719.50/3,037.18
  6. Step 6: Final answer
    x = 1,268.85

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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.