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Finding the Fourth Proportional to 2,748.60, 3,792.01 and 2,032.50

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Solution

The fourth proportional to 2,748.60, 3,792.01 and 2,032.50 is: 2,804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.60 : 3,792.01 = 2,032.50 : x
  2. Step 2: Convert to fraction form
    2,748.60/3,792.01 = 2,032.50/x
  3. Step 3: Cross multiply
    2,748.60x = 3,792.01 × 2,032.50
  4. Step 4: Simplify right side
    2,748.60x = 7,707,241.36
  5. Step 5: Solve for x
    x = 7,707,241.36/2,748.60
  6. Step 6: Final answer
    x = 2,804.07

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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.