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Finding the Fourth Proportional to 2,646.97, 3,652.86 and 1,652.83

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Solution

The fourth proportional to 2,646.97, 3,652.86 and 1,652.83 is: 2,280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.97 : 3,652.86 = 1,652.83 : x
  2. Step 2: Convert to fraction form
    2,646.97/3,652.86 = 1,652.83/x
  3. Step 3: Cross multiply
    2,646.97x = 3,652.86 × 1,652.83
  4. Step 4: Simplify right side
    2,646.97x = 6,037,548.19
  5. Step 5: Solve for x
    x = 6,037,548.19/2,646.97
  6. Step 6: Final answer
    x = 2,280.92

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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.