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Finding the Fourth Proportional to 3,164.24, 4,746.32 and 972.99

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Solution

The fourth proportional to 3,164.24, 4,746.32 and 972.99 is: 1,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.24 : 4,746.32 = 972.99 : x
  2. Step 2: Convert to fraction form
    3,164.24/4,746.32 = 972.99/x
  3. Step 3: Cross multiply
    3,164.24x = 4,746.32 × 972.99
  4. Step 4: Simplify right side
    3,164.24x = 4,618,110.07
  5. Step 5: Solve for x
    x = 4,618,110.07/3,164.24
  6. Step 6: Final answer
    x = 1,459.47

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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.