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Finding the Fourth Proportional to 1,392.45, 1,919.95 and 1,294.03

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Solution

The fourth proportional to 1,392.45, 1,919.95 and 1,294.03 is: 1,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.45 : 1,919.95 = 1,294.03 : x
  2. Step 2: Convert to fraction form
    1,392.45/1,919.95 = 1,294.03/x
  3. Step 3: Cross multiply
    1,392.45x = 1,919.95 × 1,294.03
  4. Step 4: Simplify right side
    1,392.45x = 2,484,472.90
  5. Step 5: Solve for x
    x = 2,484,472.90/1,392.45
  6. Step 6: Final answer
    x = 1,784.25

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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.