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Finding the Fourth Proportional to 2,963.76, 4,443.12 and 1,403

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Solution

The fourth proportional to 2,963.76, 4,443.12 and 1,403 is: 2,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.76 : 4,443.12 = 1,403 : x
  2. Step 2: Convert to fraction form
    2,963.76/4,443.12 = 1,403/x
  3. Step 3: Cross multiply
    2,963.76x = 4,443.12 × 1,403
  4. Step 4: Simplify right side
    2,963.76x = 6,233,697.36
  5. Step 5: Solve for x
    x = 6,233,697.36/2,963.76
  6. Step 6: Final answer
    x = 2,103.31

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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.