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Finding the Fourth Proportional to 3,037.70, 4,556.79 and 846.45

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Solution

The fourth proportional to 3,037.70, 4,556.79 and 846.45 is: 1,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.70 : 4,556.79 = 846.45 : x
  2. Step 2: Convert to fraction form
    3,037.70/4,556.79 = 846.45/x
  3. Step 3: Cross multiply
    3,037.70x = 4,556.79 × 846.45
  4. Step 4: Simplify right side
    3,037.70x = 3,857,094.90
  5. Step 5: Solve for x
    x = 3,857,094.90/3,037.70
  6. Step 6: Final answer
    x = 1,269.74

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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.