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Finding the Fourth Proportional to 2,634.21, 3,633.93 and 1,748.88

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Solution

The fourth proportional to 2,634.21, 3,633.93 and 1,748.88 is: 2,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.21 : 3,633.93 = 1,748.88 : x
  2. Step 2: Convert to fraction form
    2,634.21/3,633.93 = 1,748.88/x
  3. Step 3: Cross multiply
    2,634.21x = 3,633.93 × 1,748.88
  4. Step 4: Simplify right side
    2,634.21x = 6,355,307.50
  5. Step 5: Solve for x
    x = 6,355,307.50/2,634.21
  6. Step 6: Final answer
    x = 2,412.60

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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.