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Finding the Fourth Proportional to 2,364.88, 3,548.24 and 903.70

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Solution

The fourth proportional to 2,364.88, 3,548.24 and 903.70 is: 1,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.88 : 3,548.24 = 903.70 : x
  2. Step 2: Convert to fraction form
    2,364.88/3,548.24 = 903.70/x
  3. Step 3: Cross multiply
    2,364.88x = 3,548.24 × 903.70
  4. Step 4: Simplify right side
    2,364.88x = 3,206,544.49
  5. Step 5: Solve for x
    x = 3,206,544.49/2,364.88
  6. Step 6: Final answer
    x = 1,355.90

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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.