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Finding the Fourth Proportional to 2,657.60, 3,668.64 and 2,421.44

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Solution

The fourth proportional to 2,657.60, 3,668.64 and 2,421.44 is: 3,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.60 : 3,668.64 = 2,421.44 : x
  2. Step 2: Convert to fraction form
    2,657.60/3,668.64 = 2,421.44/x
  3. Step 3: Cross multiply
    2,657.60x = 3,668.64 × 2,421.44
  4. Step 4: Simplify right side
    2,657.60x = 8,883,391.64
  5. Step 5: Solve for x
    x = 8,883,391.64/2,657.60
  6. Step 6: Final answer
    x = 3,342.64

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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.