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Finding the Fourth Proportional to 1,642.13, 2,448.74 and 1,627.32

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Solution

The fourth proportional to 1,642.13, 2,448.74 and 1,627.32 is: 2,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.13 : 2,448.74 = 1,627.32 : x
  2. Step 2: Convert to fraction form
    1,642.13/2,448.74 = 1,627.32/x
  3. Step 3: Cross multiply
    1,642.13x = 2,448.74 × 1,627.32
  4. Step 4: Simplify right side
    1,642.13x = 3,984,887.67
  5. Step 5: Solve for x
    x = 3,984,887.67/1,642.13
  6. Step 6: Final answer
    x = 2,426.65

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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.