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Finding the Fourth Proportional to 2,675.60, 4,014.36 and 2,354.96

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Solution

The fourth proportional to 2,675.60, 4,014.36 and 2,354.96 is: 3,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.60 : 4,014.36 = 2,354.96 : x
  2. Step 2: Convert to fraction form
    2,675.60/4,014.36 = 2,354.96/x
  3. Step 3: Cross multiply
    2,675.60x = 4,014.36 × 2,354.96
  4. Step 4: Simplify right side
    2,675.60x = 9,453,657.23
  5. Step 5: Solve for x
    x = 9,453,657.23/2,675.60
  6. Step 6: Final answer
    x = 3,533.28

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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.