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Finding the Fourth Proportional to 1,705.47, 2,554.85 and 884.28

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Solution

The fourth proportional to 1,705.47, 2,554.85 and 884.28 is: 1,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.47 : 2,554.85 = 884.28 : x
  2. Step 2: Convert to fraction form
    1,705.47/2,554.85 = 884.28/x
  3. Step 3: Cross multiply
    1,705.47x = 2,554.85 × 884.28
  4. Step 4: Simplify right side
    1,705.47x = 2,259,214.55
  5. Step 5: Solve for x
    x = 2,259,214.55/1,705.47
  6. Step 6: Final answer
    x = 1,324.69

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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.