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Finding the Fourth Proportional to 2,519.76, 3,774.76 and 1,420.76

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Solution

The fourth proportional to 2,519.76, 3,774.76 and 1,420.76 is: 2,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.76 : 3,774.76 = 1,420.76 : x
  2. Step 2: Convert to fraction form
    2,519.76/3,774.76 = 1,420.76/x
  3. Step 3: Cross multiply
    2,519.76x = 3,774.76 × 1,420.76
  4. Step 4: Simplify right side
    2,519.76x = 5,363,028.02
  5. Step 5: Solve for x
    x = 5,363,028.02/2,519.76
  6. Step 6: Final answer
    x = 2,128.39

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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.