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Finding the Fourth Proportional to 1,426.47, 2,137.60 and 646.71

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Solution

The fourth proportional to 1,426.47, 2,137.60 and 646.71 is: 969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.47 : 2,137.60 = 646.71 : x
  2. Step 2: Convert to fraction form
    1,426.47/2,137.60 = 646.71/x
  3. Step 3: Cross multiply
    1,426.47x = 2,137.60 × 646.71
  4. Step 4: Simplify right side
    1,426.47x = 1,382,407.30
  5. Step 5: Solve for x
    x = 1,382,407.30/1,426.47
  6. Step 6: Final answer
    x = 969.11

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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.