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Finding the Fourth Proportional to 1,425.72, 2,139.27 and 646.26

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Solution

The fourth proportional to 1,425.72, 2,139.27 and 646.26 is: 969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.72 : 2,139.27 = 646.26 : x
  2. Step 2: Convert to fraction form
    1,425.72/2,139.27 = 646.26/x
  3. Step 3: Cross multiply
    1,425.72x = 2,139.27 × 646.26
  4. Step 4: Simplify right side
    1,425.72x = 1,382,524.63
  5. Step 5: Solve for x
    x = 1,382,524.63/1,425.72
  6. Step 6: Final answer
    x = 969.70

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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.