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Finding the Fourth Proportional to 1,564.93, 2,157.13 and 1,232.92

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Solution

The fourth proportional to 1,564.93, 2,157.13 and 1,232.92 is: 1,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.93 : 2,157.13 = 1,232.92 : x
  2. Step 2: Convert to fraction form
    1,564.93/2,157.13 = 1,232.92/x
  3. Step 3: Cross multiply
    1,564.93x = 2,157.13 × 1,232.92
  4. Step 4: Simplify right side
    1,564.93x = 2,659,568.72
  5. Step 5: Solve for x
    x = 2,659,568.72/1,564.93
  6. Step 6: Final answer
    x = 1,699.48

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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.