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Finding the Fourth Proportional to 2,378.39, 3,567.31 and 646.97

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Solution

The fourth proportional to 2,378.39, 3,567.31 and 646.97 is: 970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.39 : 3,567.31 = 646.97 : x
  2. Step 2: Convert to fraction form
    2,378.39/3,567.31 = 646.97/x
  3. Step 3: Cross multiply
    2,378.39x = 3,567.31 × 646.97
  4. Step 4: Simplify right side
    2,378.39x = 2,307,923.10
  5. Step 5: Solve for x
    x = 2,307,923.10/2,378.39
  6. Step 6: Final answer
    x = 970.37

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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.