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Finding the Fourth Proportional to 2,931.82, 4,045.10 and 1,884.49

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Solution

The fourth proportional to 2,931.82, 4,045.10 and 1,884.49 is: 2,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.82 : 4,045.10 = 1,884.49 : x
  2. Step 2: Convert to fraction form
    2,931.82/4,045.10 = 1,884.49/x
  3. Step 3: Cross multiply
    2,931.82x = 4,045.10 × 1,884.49
  4. Step 4: Simplify right side
    2,931.82x = 7,622,930.96
  5. Step 5: Solve for x
    x = 7,622,930.96/2,931.82
  6. Step 6: Final answer
    x = 2,600.07

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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.