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Finding the Fourth Proportional to 2,356.50, 3,534.96 and 625.13

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Solution

The fourth proportional to 2,356.50, 3,534.96 and 625.13 is: 937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.50 : 3,534.96 = 625.13 : x
  2. Step 2: Convert to fraction form
    2,356.50/3,534.96 = 625.13/x
  3. Step 3: Cross multiply
    2,356.50x = 3,534.96 × 625.13
  4. Step 4: Simplify right side
    2,356.50x = 2,209,791.87
  5. Step 5: Solve for x
    x = 2,209,791.87/2,356.50
  6. Step 6: Final answer
    x = 937.74

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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.