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Finding the Fourth Proportional to 2,646.43, 3,652.40 and 1,738.72

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Solution

The fourth proportional to 2,646.43, 3,652.40 and 1,738.72 is: 2,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.43 : 3,652.40 = 1,738.72 : x
  2. Step 2: Convert to fraction form
    2,646.43/3,652.40 = 1,738.72/x
  3. Step 3: Cross multiply
    2,646.43x = 3,652.40 × 1,738.72
  4. Step 4: Simplify right side
    2,646.43x = 6,350,509.84
  5. Step 5: Solve for x
    x = 6,350,509.84/2,646.43
  6. Step 6: Final answer
    x = 2,399.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.