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Finding the Fourth Proportional to 2,528.40, 3,792.60 and 2,406.90

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Solution

The fourth proportional to 2,528.40, 3,792.60 and 2,406.90 is: 3,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.40 : 3,792.60 = 2,406.90 : x
  2. Step 2: Convert to fraction form
    2,528.40/3,792.60 = 2,406.90/x
  3. Step 3: Cross multiply
    2,528.40x = 3,792.60 × 2,406.90
  4. Step 4: Simplify right side
    2,528.40x = 9,128,408.94
  5. Step 5: Solve for x
    x = 9,128,408.94/2,528.40
  6. Step 6: Final answer
    x = 3,610.35

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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.