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Finding the Fourth Proportional to 2,359.74, 3,252.43 and 1,612.40

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Solution

The fourth proportional to 2,359.74, 3,252.43 and 1,612.40 is: 2,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.74 : 3,252.43 = 1,612.40 : x
  2. Step 2: Convert to fraction form
    2,359.74/3,252.43 = 1,612.40/x
  3. Step 3: Cross multiply
    2,359.74x = 3,252.43 × 1,612.40
  4. Step 4: Simplify right side
    2,359.74x = 5,244,222.22
  5. Step 5: Solve for x
    x = 5,244,222.22/2,359.74
  6. Step 6: Final answer
    x = 2,222.37

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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.