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Finding the Fourth Proportional to 3,281.68, 4,528.32 and 1,864.86

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Solution

The fourth proportional to 3,281.68, 4,528.32 and 1,864.86 is: 2,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.68 : 4,528.32 = 1,864.86 : x
  2. Step 2: Convert to fraction form
    3,281.68/4,528.32 = 1,864.86/x
  3. Step 3: Cross multiply
    3,281.68x = 4,528.32 × 1,864.86
  4. Step 4: Simplify right side
    3,281.68x = 8,444,682.84
  5. Step 5: Solve for x
    x = 8,444,682.84/3,281.68
  6. Step 6: Final answer
    x = 2,573.28

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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.