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Finding the Fourth Proportional to 2,846.39, 4,269.60 and 1,688.63

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Solution

The fourth proportional to 2,846.39, 4,269.60 and 1,688.63 is: 2,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.39 : 4,269.60 = 1,688.63 : x
  2. Step 2: Convert to fraction form
    2,846.39/4,269.60 = 1,688.63/x
  3. Step 3: Cross multiply
    2,846.39x = 4,269.60 × 1,688.63
  4. Step 4: Simplify right side
    2,846.39x = 7,209,774.65
  5. Step 5: Solve for x
    x = 7,209,774.65/2,846.39
  6. Step 6: Final answer
    x = 2,532.95

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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.