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Finding the Fourth Proportional to 3,164.48, 4,746.45 and 973

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Solution

The fourth proportional to 3,164.48, 4,746.45 and 973 is: 1,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.48 : 4,746.45 = 973 : x
  2. Step 2: Convert to fraction form
    3,164.48/4,746.45 = 973/x
  3. Step 3: Cross multiply
    3,164.48x = 4,746.45 × 973
  4. Step 4: Simplify right side
    3,164.48x = 4,618,295.85
  5. Step 5: Solve for x
    x = 4,618,295.85/3,164.48
  6. Step 6: Final answer
    x = 1,459.42

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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.