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Finding the Fourth Proportional to 2,673.64, 4,008.30 and 1,374.40

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Solution

The fourth proportional to 2,673.64, 4,008.30 and 1,374.40 is: 2,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.64 : 4,008.30 = 1,374.40 : x
  2. Step 2: Convert to fraction form
    2,673.64/4,008.30 = 1,374.40/x
  3. Step 3: Cross multiply
    2,673.64x = 4,008.30 × 1,374.40
  4. Step 4: Simplify right side
    2,673.64x = 5,509,007.52
  5. Step 5: Solve for x
    x = 5,509,007.52/2,673.64
  6. Step 6: Final answer
    x = 2,060.49

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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.