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Finding the Fourth Proportional to 2,646.63, 3,652.09 and 1,584.18

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Solution

The fourth proportional to 2,646.63, 3,652.09 and 1,584.18 is: 2,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.63 : 3,652.09 = 1,584.18 : x
  2. Step 2: Convert to fraction form
    2,646.63/3,652.09 = 1,584.18/x
  3. Step 3: Cross multiply
    2,646.63x = 3,652.09 × 1,584.18
  4. Step 4: Simplify right side
    2,646.63x = 5,785,567.94
  5. Step 5: Solve for x
    x = 5,785,567.94/2,646.63
  6. Step 6: Final answer
    x = 2,186.01

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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.