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Finding the Fourth Proportional to 2,426.47, 3,640.25 and 866.63

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Solution

The fourth proportional to 2,426.47, 3,640.25 and 866.63 is: 1,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.47 : 3,640.25 = 866.63 : x
  2. Step 2: Convert to fraction form
    2,426.47/3,640.25 = 866.63/x
  3. Step 3: Cross multiply
    2,426.47x = 3,640.25 × 866.63
  4. Step 4: Simplify right side
    2,426.47x = 3,154,749.86
  5. Step 5: Solve for x
    x = 3,154,749.86/2,426.47
  6. Step 6: Final answer
    x = 1,300.14

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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.