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Finding the Fourth Proportional to 1,862.01, 2,569.46 and 1,682.73

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Solution

The fourth proportional to 1,862.01, 2,569.46 and 1,682.73 is: 2,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.01 : 2,569.46 = 1,682.73 : x
  2. Step 2: Convert to fraction form
    1,862.01/2,569.46 = 1,682.73/x
  3. Step 3: Cross multiply
    1,862.01x = 2,569.46 × 1,682.73
  4. Step 4: Simplify right side
    1,862.01x = 4,323,699.01
  5. Step 5: Solve for x
    x = 4,323,699.01/1,862.01
  6. Step 6: Final answer
    x = 2,322.06

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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.