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Finding the Fourth Proportional to 2,335.98, 3,503.55 and 776.01

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Solution

The fourth proportional to 2,335.98, 3,503.55 and 776.01 is: 1,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.98 : 3,503.55 = 776.01 : x
  2. Step 2: Convert to fraction form
    2,335.98/3,503.55 = 776.01/x
  3. Step 3: Cross multiply
    2,335.98x = 3,503.55 × 776.01
  4. Step 4: Simplify right side
    2,335.98x = 2,718,789.84
  5. Step 5: Solve for x
    x = 2,718,789.84/2,335.98
  6. Step 6: Final answer
    x = 1,163.88

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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.