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Finding the Fourth Proportional to 3,173.60, 4,756.06 and 2,017.28

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Solution

The fourth proportional to 3,173.60, 4,756.06 and 2,017.28 is: 3,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.60 : 4,756.06 = 2,017.28 : x
  2. Step 2: Convert to fraction form
    3,173.60/4,756.06 = 2,017.28/x
  3. Step 3: Cross multiply
    3,173.60x = 4,756.06 × 2,017.28
  4. Step 4: Simplify right side
    3,173.60x = 9,594,304.72
  5. Step 5: Solve for x
    x = 9,594,304.72/3,173.60
  6. Step 6: Final answer
    x = 3,023.16

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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.