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Finding the Fourth Proportional to 3,075.95, 4,614.03 and 995.97

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Solution

The fourth proportional to 3,075.95, 4,614.03 and 995.97 is: 1,493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.95 : 4,614.03 = 995.97 : x
  2. Step 2: Convert to fraction form
    3,075.95/4,614.03 = 995.97/x
  3. Step 3: Cross multiply
    3,075.95x = 4,614.03 × 995.97
  4. Step 4: Simplify right side
    3,075.95x = 4,595,430.48
  5. Step 5: Solve for x
    x = 4,595,430.48/3,075.95
  6. Step 6: Final answer
    x = 1,493.99

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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.