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Finding the Fourth Proportional to 2,277.60, 3,140.64 and 1,752.48

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Solution

The fourth proportional to 2,277.60, 3,140.64 and 1,752.48 is: 2,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.60 : 3,140.64 = 1,752.48 : x
  2. Step 2: Convert to fraction form
    2,277.60/3,140.64 = 1,752.48/x
  3. Step 3: Cross multiply
    2,277.60x = 3,140.64 × 1,752.48
  4. Step 4: Simplify right side
    2,277.60x = 5,503,908.79
  5. Step 5: Solve for x
    x = 5,503,908.79/2,277.60
  6. Step 6: Final answer
    x = 2,416.54

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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.