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Finding the Fourth Proportional to 3,246.40, 4,866.40 and 1,603.20

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Solution

The fourth proportional to 3,246.40, 4,866.40 and 1,603.20 is: 2,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.40 : 4,866.40 = 1,603.20 : x
  2. Step 2: Convert to fraction form
    3,246.40/4,866.40 = 1,603.20/x
  3. Step 3: Cross multiply
    3,246.40x = 4,866.40 × 1,603.20
  4. Step 4: Simplify right side
    3,246.40x = 7,801,812.48
  5. Step 5: Solve for x
    x = 7,801,812.48/3,246.40
  6. Step 6: Final answer
    x = 2,403.22

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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.