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Finding the Fourth Proportional to 1,748.68, 2,633.43 and 1,577.32

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Solution

The fourth proportional to 1,748.68, 2,633.43 and 1,577.32 is: 2,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.68 : 2,633.43 = 1,577.32 : x
  2. Step 2: Convert to fraction form
    1,748.68/2,633.43 = 1,577.32/x
  3. Step 3: Cross multiply
    1,748.68x = 2,633.43 × 1,577.32
  4. Step 4: Simplify right side
    1,748.68x = 4,153,761.81
  5. Step 5: Solve for x
    x = 4,153,761.81/1,748.68
  6. Step 6: Final answer
    x = 2,375.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.