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Finding the Fourth Proportional to 1,468.13, 2,024.19 and 969.64

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Solution

The fourth proportional to 1,468.13, 2,024.19 and 969.64 is: 1,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.13 : 2,024.19 = 969.64 : x
  2. Step 2: Convert to fraction form
    1,468.13/2,024.19 = 969.64/x
  3. Step 3: Cross multiply
    1,468.13x = 2,024.19 × 969.64
  4. Step 4: Simplify right side
    1,468.13x = 1,962,730.53
  5. Step 5: Solve for x
    x = 1,962,730.53/1,468.13
  6. Step 6: Final answer
    x = 1,336.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.