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Finding the Fourth Proportional to 3,246.40, 4,477.92 and 1,920

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Solution

The fourth proportional to 3,246.40, 4,477.92 and 1,920 is: 2,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.40 : 4,477.92 = 1,920 : x
  2. Step 2: Convert to fraction form
    3,246.40/4,477.92 = 1,920/x
  3. Step 3: Cross multiply
    3,246.40x = 4,477.92 × 1,920
  4. Step 4: Simplify right side
    3,246.40x = 8,597,606.40
  5. Step 5: Solve for x
    x = 8,597,606.40/3,246.40
  6. Step 6: Final answer
    x = 2,648.35

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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.