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Finding the Fourth Proportional to 2,692.76, 4,040.73 and 1,460.14

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Solution

The fourth proportional to 2,692.76, 4,040.73 and 1,460.14 is: 2,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.76 : 4,040.73 = 1,460.14 : x
  2. Step 2: Convert to fraction form
    2,692.76/4,040.73 = 1,460.14/x
  3. Step 3: Cross multiply
    2,692.76x = 4,040.73 × 1,460.14
  4. Step 4: Simplify right side
    2,692.76x = 5,900,031.50
  5. Step 5: Solve for x
    x = 5,900,031.50/2,692.76
  6. Step 6: Final answer
    x = 2,191.07

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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.