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Finding the Fourth Proportional to 3,206.80, 4,810.52 and 1,154.32

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Solution

The fourth proportional to 3,206.80, 4,810.52 and 1,154.32 is: 1,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.80 : 4,810.52 = 1,154.32 : x
  2. Step 2: Convert to fraction form
    3,206.80/4,810.52 = 1,154.32/x
  3. Step 3: Cross multiply
    3,206.80x = 4,810.52 × 1,154.32
  4. Step 4: Simplify right side
    3,206.80x = 5,552,879.45
  5. Step 5: Solve for x
    x = 5,552,879.45/3,206.80
  6. Step 6: Final answer
    x = 1,731.60

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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.