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Finding the Fourth Proportional to 1,655.27, 2,282.94 and 1,455.68

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Solution

The fourth proportional to 1,655.27, 2,282.94 and 1,455.68 is: 2,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.27 : 2,282.94 = 1,455.68 : x
  2. Step 2: Convert to fraction form
    1,655.27/2,282.94 = 1,455.68/x
  3. Step 3: Cross multiply
    1,655.27x = 2,282.94 × 1,455.68
  4. Step 4: Simplify right side
    1,655.27x = 3,323,224.14
  5. Step 5: Solve for x
    x = 3,323,224.14/1,655.27
  6. Step 6: Final answer
    x = 2,007.66

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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.