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Finding the Fourth Proportional to 2,318.71, 3,478.63 and 675.27

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Solution

The fourth proportional to 2,318.71, 3,478.63 and 675.27 is: 1,013.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.71 : 3,478.63 = 675.27 : x
  2. Step 2: Convert to fraction form
    2,318.71/3,478.63 = 675.27/x
  3. Step 3: Cross multiply
    2,318.71x = 3,478.63 × 675.27
  4. Step 4: Simplify right side
    2,318.71x = 2,348,999.38
  5. Step 5: Solve for x
    x = 2,348,999.38/2,318.71
  6. Step 6: Final answer
    x = 1,013.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.