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Finding the Fourth Proportional to 1,913.92, 2,857.12 and 1,622.40

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Solution

The fourth proportional to 1,913.92, 2,857.12 and 1,622.40 is: 2,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.92 : 2,857.12 = 1,622.40 : x
  2. Step 2: Convert to fraction form
    1,913.92/2,857.12 = 1,622.40/x
  3. Step 3: Cross multiply
    1,913.92x = 2,857.12 × 1,622.40
  4. Step 4: Simplify right side
    1,913.92x = 4,635,391.49
  5. Step 5: Solve for x
    x = 4,635,391.49/1,913.92
  6. Step 6: Final answer
    x = 2,421.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.