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Finding the Fourth Proportional to 2,842.39, 4,263.59 and 1,684.63

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Solution

The fourth proportional to 2,842.39, 4,263.59 and 1,684.63 is: 2,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.39 : 4,263.59 = 1,684.63 : x
  2. Step 2: Convert to fraction form
    2,842.39/4,263.59 = 1,684.63/x
  3. Step 3: Cross multiply
    2,842.39x = 4,263.59 × 1,684.63
  4. Step 4: Simplify right side
    2,842.39x = 7,182,571.62
  5. Step 5: Solve for x
    x = 7,182,571.62/2,842.39
  6. Step 6: Final answer
    x = 2,526.95

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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.