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Finding the Fourth Proportional to 2,646.09, 3,652.86 and 1,652.83

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Solution

The fourth proportional to 2,646.09, 3,652.86 and 1,652.83 is: 2,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.09 : 3,652.86 = 1,652.83 : x
  2. Step 2: Convert to fraction form
    2,646.09/3,652.86 = 1,652.83/x
  3. Step 3: Cross multiply
    2,646.09x = 3,652.86 × 1,652.83
  4. Step 4: Simplify right side
    2,646.09x = 6,037,556.59
  5. Step 5: Solve for x
    x = 6,037,556.59/2,646.09
  6. Step 6: Final answer
    x = 2,281.69

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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.