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Finding the Fourth Proportional to 1,372.57, 1,892.50 and 953.28

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Solution

The fourth proportional to 1,372.57, 1,892.50 and 953.28 is: 1,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.57 : 1,892.50 = 953.28 : x
  2. Step 2: Convert to fraction form
    1,372.57/1,892.50 = 953.28/x
  3. Step 3: Cross multiply
    1,372.57x = 1,892.50 × 953.28
  4. Step 4: Simplify right side
    1,372.57x = 1,804,080.02
  5. Step 5: Solve for x
    x = 1,804,080.02/1,372.57
  6. Step 6: Final answer
    x = 1,314.38

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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.