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Finding the Fourth Proportional to 2,603.71, 3,590.16 and 2,327.23

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Solution

The fourth proportional to 2,603.71, 3,590.16 and 2,327.23 is: 3,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.71 : 3,590.16 = 2,327.23 : x
  2. Step 2: Convert to fraction form
    2,603.71/3,590.16 = 2,327.23/x
  3. Step 3: Cross multiply
    2,603.71x = 3,590.16 × 2,327.23
  4. Step 4: Simplify right side
    2,603.71x = 8,355,128.06
  5. Step 5: Solve for x
    x = 8,355,128.06/2,603.71
  6. Step 6: Final answer
    x = 3,208.93

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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.