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Finding the Fourth Proportional to 2,461.93, 3,396.61 and 1,578.22

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Solution

The fourth proportional to 2,461.93, 3,396.61 and 1,578.22 is: 2,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.93 : 3,396.61 = 1,578.22 : x
  2. Step 2: Convert to fraction form
    2,461.93/3,396.61 = 1,578.22/x
  3. Step 3: Cross multiply
    2,461.93x = 3,396.61 × 1,578.22
  4. Step 4: Simplify right side
    2,461.93x = 5,360,597.83
  5. Step 5: Solve for x
    x = 5,360,597.83/2,461.93
  6. Step 6: Final answer
    x = 2,177.40

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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.