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Finding the Fourth Proportional to 2,375.60, 3,564 and 1,917.54

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Solution

The fourth proportional to 2,375.60, 3,564 and 1,917.54 is: 2,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.60 : 3,564 = 1,917.54 : x
  2. Step 2: Convert to fraction form
    2,375.60/3,564 = 1,917.54/x
  3. Step 3: Cross multiply
    2,375.60x = 3,564 × 1,917.54
  4. Step 4: Simplify right side
    2,375.60x = 6,834,112.56
  5. Step 5: Solve for x
    x = 6,834,112.56/2,375.60
  6. Step 6: Final answer
    x = 2,876.80

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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.