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Finding the Fourth Proportional to 2,014.84, 2,765.64 and 1,788.85

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Solution

The fourth proportional to 2,014.84, 2,765.64 and 1,788.85 is: 2,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.84 : 2,765.64 = 1,788.85 : x
  2. Step 2: Convert to fraction form
    2,014.84/2,765.64 = 1,788.85/x
  3. Step 3: Cross multiply
    2,014.84x = 2,765.64 × 1,788.85
  4. Step 4: Simplify right side
    2,014.84x = 4,947,315.11
  5. Step 5: Solve for x
    x = 4,947,315.11/2,014.84
  6. Step 6: Final answer
    x = 2,455.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.