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Finding the Fourth Proportional to 3,037.32, 4,555.98 and 846.68

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Solution

The fourth proportional to 3,037.32, 4,555.98 and 846.68 is: 1,270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.32 : 4,555.98 = 846.68 : x
  2. Step 2: Convert to fraction form
    3,037.32/4,555.98 = 846.68/x
  3. Step 3: Cross multiply
    3,037.32x = 4,555.98 × 846.68
  4. Step 4: Simplify right side
    3,037.32x = 3,857,434.37
  5. Step 5: Solve for x
    x = 3,857,434.37/3,037.32
  6. Step 6: Final answer
    x = 1,270.01

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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.