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Finding the Fourth Proportional to 2,513.20, 3,770.36 and 953.20

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Solution

The fourth proportional to 2,513.20, 3,770.36 and 953.20 is: 1,430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.20 : 3,770.36 = 953.20 : x
  2. Step 2: Convert to fraction form
    2,513.20/3,770.36 = 953.20/x
  3. Step 3: Cross multiply
    2,513.20x = 3,770.36 × 953.20
  4. Step 4: Simplify right side
    2,513.20x = 3,593,907.15
  5. Step 5: Solve for x
    x = 3,593,907.15/2,513.20
  6. Step 6: Final answer
    x = 1,430.01

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1.5x scale

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.