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Finding the Fourth Proportional to 2,692.59, 4,038.91 and 744.95

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Solution

The fourth proportional to 2,692.59, 4,038.91 and 744.95 is: 1,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.59 : 4,038.91 = 744.95 : x
  2. Step 2: Convert to fraction form
    2,692.59/4,038.91 = 744.95/x
  3. Step 3: Cross multiply
    2,692.59x = 4,038.91 × 744.95
  4. Step 4: Simplify right side
    2,692.59x = 3,008,763.95
  5. Step 5: Solve for x
    x = 3,008,763.95/2,692.59
  6. Step 6: Final answer
    x = 1,117.42

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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.