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Finding the Fourth Proportional to 1,754.17, 2,631.27 and 455.64

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Solution

The fourth proportional to 1,754.17, 2,631.27 and 455.64 is: 683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.17 : 2,631.27 = 455.64 : x
  2. Step 2: Convert to fraction form
    1,754.17/2,631.27 = 455.64/x
  3. Step 3: Cross multiply
    1,754.17x = 2,631.27 × 455.64
  4. Step 4: Simplify right side
    1,754.17x = 1,198,909.58
  5. Step 5: Solve for x
    x = 1,198,909.58/1,754.17
  6. Step 6: Final answer
    x = 683.46

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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.