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Finding the Fourth Proportional to 1,646.82, 2,273.13 and 1,592.10

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Solution

The fourth proportional to 1,646.82, 2,273.13 and 1,592.10 is: 2,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.82 : 2,273.13 = 1,592.10 : x
  2. Step 2: Convert to fraction form
    1,646.82/2,273.13 = 1,592.10/x
  3. Step 3: Cross multiply
    1,646.82x = 2,273.13 × 1,592.10
  4. Step 4: Simplify right side
    1,646.82x = 3,619,050.27
  5. Step 5: Solve for x
    x = 3,619,050.27/1,646.82
  6. Step 6: Final answer
    x = 2,197.60

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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.