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Finding the Fourth Proportional to 2,461.94, 3,675.06 and 2,117.49

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Solution

The fourth proportional to 2,461.94, 3,675.06 and 2,117.49 is: 3,160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.94 : 3,675.06 = 2,117.49 : x
  2. Step 2: Convert to fraction form
    2,461.94/3,675.06 = 2,117.49/x
  3. Step 3: Cross multiply
    2,461.94x = 3,675.06 × 2,117.49
  4. Step 4: Simplify right side
    2,461.94x = 7,781,884.42
  5. Step 5: Solve for x
    x = 7,781,884.42/2,461.94
  6. Step 6: Final answer
    x = 3,160.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.