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Finding the Fourth Proportional to 2,789.96, 4,184.74 and 709.98

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Solution

The fourth proportional to 2,789.96, 4,184.74 and 709.98 is: 1,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.96 : 4,184.74 = 709.98 : x
  2. Step 2: Convert to fraction form
    2,789.96/4,184.74 = 709.98/x
  3. Step 3: Cross multiply
    2,789.96x = 4,184.74 × 709.98
  4. Step 4: Simplify right side
    2,789.96x = 2,971,075.28
  5. Step 5: Solve for x
    x = 2,971,075.28/2,789.96
  6. Step 6: Final answer
    x = 1,064.92

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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.