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Finding the Fourth Proportional to 2,403.76, 3,603.42 and 864.40

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Solution

The fourth proportional to 2,403.76, 3,603.42 and 864.40 is: 1,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.76 : 3,603.42 = 864.40 : x
  2. Step 2: Convert to fraction form
    2,403.76/3,603.42 = 864.40/x
  3. Step 3: Cross multiply
    2,403.76x = 3,603.42 × 864.40
  4. Step 4: Simplify right side
    2,403.76x = 3,114,796.25
  5. Step 5: Solve for x
    x = 3,114,796.25/2,403.76
  6. Step 6: Final answer
    x = 1,295.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.