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Finding the Fourth Proportional to 3,320.40, 4,973.40 and 2,024.40

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Solution

The fourth proportional to 3,320.40, 4,973.40 and 2,024.40 is: 3,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.40 : 4,973.40 = 2,024.40 : x
  2. Step 2: Convert to fraction form
    3,320.40/4,973.40 = 2,024.40/x
  3. Step 3: Cross multiply
    3,320.40x = 4,973.40 × 2,024.40
  4. Step 4: Simplify right side
    3,320.40x = 10,068,150.96
  5. Step 5: Solve for x
    x = 10,068,150.96/3,320.40
  6. Step 6: Final answer
    x = 3,032.21

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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.