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Finding the Fourth Proportional to 2,375.54, 3,557.53 and 1,642.89

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Solution

The fourth proportional to 2,375.54, 3,557.53 and 1,642.89 is: 2,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.54 : 3,557.53 = 1,642.89 : x
  2. Step 2: Convert to fraction form
    2,375.54/3,557.53 = 1,642.89/x
  3. Step 3: Cross multiply
    2,375.54x = 3,557.53 × 1,642.89
  4. Step 4: Simplify right side
    2,375.54x = 5,844,630.46
  5. Step 5: Solve for x
    x = 5,844,630.46/2,375.54
  6. Step 6: Final answer
    x = 2,460.34

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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.