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Finding the Fourth Proportional to 3,164.48, 4,746.28 and 972.60

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Solution

The fourth proportional to 3,164.48, 4,746.28 and 972.60 is: 1,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.48 : 4,746.28 = 972.60 : x
  2. Step 2: Convert to fraction form
    3,164.48/4,746.28 = 972.60/x
  3. Step 3: Cross multiply
    3,164.48x = 4,746.28 × 972.60
  4. Step 4: Simplify right side
    3,164.48x = 4,616,231.93
  5. Step 5: Solve for x
    x = 4,616,231.93/3,164.48
  6. Step 6: Final answer
    x = 1,458.76

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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.