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Finding the Fourth Proportional to 2,373.76, 3,273.96 and 1,577.44

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Solution

The fourth proportional to 2,373.76, 3,273.96 and 1,577.44 is: 2,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.76 : 3,273.96 = 1,577.44 : x
  2. Step 2: Convert to fraction form
    2,373.76/3,273.96 = 1,577.44/x
  3. Step 3: Cross multiply
    2,373.76x = 3,273.96 × 1,577.44
  4. Step 4: Simplify right side
    2,373.76x = 5,164,475.46
  5. Step 5: Solve for x
    x = 5,164,475.46/2,373.76
  6. Step 6: Final answer
    x = 2,175.65

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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.