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Finding the Fourth Proportional to 1,886.54, 2,821.28 and 1,629.59

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Solution

The fourth proportional to 1,886.54, 2,821.28 and 1,629.59 is: 2,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.54 : 2,821.28 = 1,629.59 : x
  2. Step 2: Convert to fraction form
    1,886.54/2,821.28 = 1,629.59/x
  3. Step 3: Cross multiply
    1,886.54x = 2,821.28 × 1,629.59
  4. Step 4: Simplify right side
    1,886.54x = 4,597,507.42
  5. Step 5: Solve for x
    x = 4,597,507.42/1,886.54
  6. Step 6: Final answer
    x = 2,437.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.