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Finding the Fourth Proportional to 2,533.44, 3,792.96 and 1,656.93

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Solution

The fourth proportional to 2,533.44, 3,792.96 and 1,656.93 is: 2,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.44 : 3,792.96 = 1,656.93 : x
  2. Step 2: Convert to fraction form
    2,533.44/3,792.96 = 1,656.93/x
  3. Step 3: Cross multiply
    2,533.44x = 3,792.96 × 1,656.93
  4. Step 4: Simplify right side
    2,533.44x = 6,284,669.21
  5. Step 5: Solve for x
    x = 6,284,669.21/2,533.44
  6. Step 6: Final answer
    x = 2,480.69

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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.