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Finding the Fourth Proportional to 3,235.92, 4,854.84 and 1,506.64

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Solution

The fourth proportional to 3,235.92, 4,854.84 and 1,506.64 is: 2,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.92 : 4,854.84 = 1,506.64 : x
  2. Step 2: Convert to fraction form
    3,235.92/4,854.84 = 1,506.64/x
  3. Step 3: Cross multiply
    3,235.92x = 4,854.84 × 1,506.64
  4. Step 4: Simplify right side
    3,235.92x = 7,314,496.14
  5. Step 5: Solve for x
    x = 7,314,496.14/3,235.92
  6. Step 6: Final answer
    x = 2,260.41

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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.