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Finding the Fourth Proportional to 2,829.60, 4,265.40 and 2,637.60

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Solution

The fourth proportional to 2,829.60, 4,265.40 and 2,637.60 is: 3,975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.60 : 4,265.40 = 2,637.60 : x
  2. Step 2: Convert to fraction form
    2,829.60/4,265.40 = 2,637.60/x
  3. Step 3: Cross multiply
    2,829.60x = 4,265.40 × 2,637.60
  4. Step 4: Simplify right side
    2,829.60x = 11,250,419.04
  5. Step 5: Solve for x
    x = 11,250,419.04/2,829.60
  6. Step 6: Final answer
    x = 3,975.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.