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Finding the Fourth Proportional to 3,160.24, 4,740.56 and 969.12

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Solution

The fourth proportional to 3,160.24, 4,740.56 and 969.12 is: 1,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.24 : 4,740.56 = 969.12 : x
  2. Step 2: Convert to fraction form
    3,160.24/4,740.56 = 969.12/x
  3. Step 3: Cross multiply
    3,160.24x = 4,740.56 × 969.12
  4. Step 4: Simplify right side
    3,160.24x = 4,594,171.51
  5. Step 5: Solve for x
    x = 4,594,171.51/3,160.24
  6. Step 6: Final answer
    x = 1,453.74

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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.