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Finding the Fourth Proportional to 3,320.64, 4,978.24 and 1,371.68

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Solution

The fourth proportional to 3,320.64, 4,978.24 and 1,371.68 is: 2,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.64 : 4,978.24 = 1,371.68 : x
  2. Step 2: Convert to fraction form
    3,320.64/4,978.24 = 1,371.68/x
  3. Step 3: Cross multiply
    3,320.64x = 4,978.24 × 1,371.68
  4. Step 4: Simplify right side
    3,320.64x = 6,828,552.24
  5. Step 5: Solve for x
    x = 6,828,552.24/3,320.64
  6. Step 6: Final answer
    x = 2,056.40

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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.