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Finding the Fourth Proportional to 1,640.58, 2,448.26 and 1,465.41

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Solution

The fourth proportional to 1,640.58, 2,448.26 and 1,465.41 is: 2,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.58 : 2,448.26 = 1,465.41 : x
  2. Step 2: Convert to fraction form
    1,640.58/2,448.26 = 1,465.41/x
  3. Step 3: Cross multiply
    1,640.58x = 2,448.26 × 1,465.41
  4. Step 4: Simplify right side
    1,640.58x = 3,587,697.36
  5. Step 5: Solve for x
    x = 3,587,697.36/1,640.58
  6. Step 6: Final answer
    x = 2,186.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.