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Finding the Fourth Proportional to 2,415.50, 3,623.76 and 772.22

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Solution

The fourth proportional to 2,415.50, 3,623.76 and 772.22 is: 1,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.50 : 3,623.76 = 772.22 : x
  2. Step 2: Convert to fraction form
    2,415.50/3,623.76 = 772.22/x
  3. Step 3: Cross multiply
    2,415.50x = 3,623.76 × 772.22
  4. Step 4: Simplify right side
    2,415.50x = 2,798,339.95
  5. Step 5: Solve for x
    x = 2,798,339.95/2,415.50
  6. Step 6: Final answer
    x = 1,158.49

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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.