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Finding the Fourth Proportional to 3,117.64, 4,653.65 and 2,748.60

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Solution

The fourth proportional to 3,117.64, 4,653.65 and 2,748.60 is: 4,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.64 : 4,653.65 = 2,748.60 : x
  2. Step 2: Convert to fraction form
    3,117.64/4,653.65 = 2,748.60/x
  3. Step 3: Cross multiply
    3,117.64x = 4,653.65 × 2,748.60
  4. Step 4: Simplify right side
    3,117.64x = 12,791,022.39
  5. Step 5: Solve for x
    x = 12,791,022.39/3,117.64
  6. Step 6: Final answer
    x = 4,102.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.