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Finding the Fourth Proportional to 3,037.35, 4,555.50 and 846.09

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Solution

The fourth proportional to 3,037.35, 4,555.50 and 846.09 is: 1,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.35 : 4,555.50 = 846.09 : x
  2. Step 2: Convert to fraction form
    3,037.35/4,555.50 = 846.09/x
  3. Step 3: Cross multiply
    3,037.35x = 4,555.50 × 846.09
  4. Step 4: Simplify right side
    3,037.35x = 3,854,363.00
  5. Step 5: Solve for x
    x = 3,854,363.00/3,037.35
  6. Step 6: Final answer
    x = 1,268.99

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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.