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Finding the Fourth Proportional to 3,281.50, 4,528.47 and 1,884.52

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Solution

The fourth proportional to 3,281.50, 4,528.47 and 1,884.52 is: 2,600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.50 : 4,528.47 = 1,884.52 : x
  2. Step 2: Convert to fraction form
    3,281.50/4,528.47 = 1,884.52/x
  3. Step 3: Cross multiply
    3,281.50x = 4,528.47 × 1,884.52
  4. Step 4: Simplify right side
    3,281.50x = 8,533,992.28
  5. Step 5: Solve for x
    x = 8,533,992.28/3,281.50
  6. Step 6: Final answer
    x = 2,600.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.