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Finding the Fourth Proportional to 2,842.91, 4,265.66 and 1,283.32

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Solution

The fourth proportional to 2,842.91, 4,265.66 and 1,283.32 is: 1,925.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.91 : 4,265.66 = 1,283.32 : x
  2. Step 2: Convert to fraction form
    2,842.91/4,265.66 = 1,283.32/x
  3. Step 3: Cross multiply
    2,842.91x = 4,265.66 × 1,283.32
  4. Step 4: Simplify right side
    2,842.91x = 5,474,189.71
  5. Step 5: Solve for x
    x = 5,474,189.71/2,842.91
  6. Step 6: Final answer
    x = 1,925.56

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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.