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Finding the Fourth Proportional to 2,603.48, 3,877.67 and 2,590.92

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Solution

The fourth proportional to 2,603.48, 3,877.67 and 2,590.92 is: 3,858.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.48 : 3,877.67 = 2,590.92 : x
  2. Step 2: Convert to fraction form
    2,603.48/3,877.67 = 2,590.92/x
  3. Step 3: Cross multiply
    2,603.48x = 3,877.67 × 2,590.92
  4. Step 4: Simplify right side
    2,603.48x = 10,046,739.23
  5. Step 5: Solve for x
    x = 10,046,739.23/2,603.48
  6. Step 6: Final answer
    x = 3,858.97

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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.