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Finding the Fourth Proportional to 4,280.40, 6,404.40 and 2,822.40

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Solution

The fourth proportional to 4,280.40, 6,404.40 and 2,822.40 is: 4,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280.40 : 6,404.40 = 2,822.40 : x
  2. Step 2: Convert to fraction form
    4,280.40/6,404.40 = 2,822.40/x
  3. Step 3: Cross multiply
    4,280.40x = 6,404.40 × 2,822.40
  4. Step 4: Simplify right side
    4,280.40x = 18,075,778.56
  5. Step 5: Solve for x
    x = 18,075,778.56/4,280.40
  6. Step 6: Final answer
    x = 4,222.92

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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.