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Finding the Fourth Proportional to 3,164.06, 4,746.54 and 972.97

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Solution

The fourth proportional to 3,164.06, 4,746.54 and 972.97 is: 1,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.06 : 4,746.54 = 972.97 : x
  2. Step 2: Convert to fraction form
    3,164.06/4,746.54 = 972.97/x
  3. Step 3: Cross multiply
    3,164.06x = 4,746.54 × 972.97
  4. Step 4: Simplify right side
    3,164.06x = 4,618,241.02
  5. Step 5: Solve for x
    x = 4,618,241.02/3,164.06
  6. Step 6: Final answer
    x = 1,459.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.