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Finding the Fourth Proportional to 3,037.65, 4,555.85 and 846.40

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Solution

The fourth proportional to 3,037.65, 4,555.85 and 846.40 is: 1,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.65 : 4,555.85 = 846.40 : x
  2. Step 2: Convert to fraction form
    3,037.65/4,555.85 = 846.40/x
  3. Step 3: Cross multiply
    3,037.65x = 4,555.85 × 846.40
  4. Step 4: Simplify right side
    3,037.65x = 3,856,064.36
  5. Step 5: Solve for x
    x = 3,856,064.36/3,037.65
  6. Step 6: Final answer
    x = 1,269.42

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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.