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Finding the Fourth Proportional to 2,665.63, 3,677.56 and 1,827.69

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Solution

The fourth proportional to 2,665.63, 3,677.56 and 1,827.69 is: 2,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.63 : 3,677.56 = 1,827.69 : x
  2. Step 2: Convert to fraction form
    2,665.63/3,677.56 = 1,827.69/x
  3. Step 3: Cross multiply
    2,665.63x = 3,677.56 × 1,827.69
  4. Step 4: Simplify right side
    2,665.63x = 6,721,439.64
  5. Step 5: Solve for x
    x = 6,721,439.64/2,665.63
  6. Step 6: Final answer
    x = 2,521.52

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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.