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Finding the Fourth Proportional to 2,374.61, 3,564.10 and 1,205.43

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Solution

The fourth proportional to 2,374.61, 3,564.10 and 1,205.43 is: 1,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.61 : 3,564.10 = 1,205.43 : x
  2. Step 2: Convert to fraction form
    2,374.61/3,564.10 = 1,205.43/x
  3. Step 3: Cross multiply
    2,374.61x = 3,564.10 × 1,205.43
  4. Step 4: Simplify right side
    2,374.61x = 4,296,273.06
  5. Step 5: Solve for x
    x = 4,296,273.06/2,374.61
  6. Step 6: Final answer
    x = 1,809.25

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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.