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Finding the Fourth Proportional to 2,041.84, 2,806.88 and 1,757.20

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Solution

The fourth proportional to 2,041.84, 2,806.88 and 1,757.20 is: 2,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.84 : 2,806.88 = 1,757.20 : x
  2. Step 2: Convert to fraction form
    2,041.84/2,806.88 = 1,757.20/x
  3. Step 3: Cross multiply
    2,041.84x = 2,806.88 × 1,757.20
  4. Step 4: Simplify right side
    2,041.84x = 4,932,249.54
  5. Step 5: Solve for x
    x = 4,932,249.54/2,041.84
  6. Step 6: Final answer
    x = 2,415.59

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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.