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Finding the Fourth Proportional to 2,374.54, 3,556.04 and 1,641.89

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Solution

The fourth proportional to 2,374.54, 3,556.04 and 1,641.89 is: 2,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.54 : 3,556.04 = 1,641.89 : x
  2. Step 2: Convert to fraction form
    2,374.54/3,556.04 = 1,641.89/x
  3. Step 3: Cross multiply
    2,374.54x = 3,556.04 × 1,641.89
  4. Step 4: Simplify right side
    2,374.54x = 5,838,627.20
  5. Step 5: Solve for x
    x = 5,838,627.20/2,374.54
  6. Step 6: Final answer
    x = 2,458.85

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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.