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Finding the Fourth Proportional to 2,269.51, 3,403.68 and 625.96

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Solution

The fourth proportional to 2,269.51, 3,403.68 and 625.96 is: 938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.51 : 3,403.68 = 625.96 : x
  2. Step 2: Convert to fraction form
    2,269.51/3,403.68 = 625.96/x
  3. Step 3: Cross multiply
    2,269.51x = 3,403.68 × 625.96
  4. Step 4: Simplify right side
    2,269.51x = 2,130,567.53
  5. Step 5: Solve for x
    x = 2,130,567.53/2,269.51
  6. Step 6: Final answer
    x = 938.78

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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.