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Finding the Fourth Proportional to 2,168.24, 2,989.24 and 1,468.40

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Solution

The fourth proportional to 2,168.24, 2,989.24 and 1,468.40 is: 2,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.24 : 2,989.24 = 1,468.40 : x
  2. Step 2: Convert to fraction form
    2,168.24/2,989.24 = 1,468.40/x
  3. Step 3: Cross multiply
    2,168.24x = 2,989.24 × 1,468.40
  4. Step 4: Simplify right side
    2,168.24x = 4,389,381.40
  5. Step 5: Solve for x
    x = 4,389,381.40/2,168.24
  6. Step 6: Final answer
    x = 2,024.40

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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.