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Finding the Fourth Proportional to 2,677.83, 3,695.49 and 1,559.16

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Solution

The fourth proportional to 2,677.83, 3,695.49 and 1,559.16 is: 2,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.83 : 3,695.49 = 1,559.16 : x
  2. Step 2: Convert to fraction form
    2,677.83/3,695.49 = 1,559.16/x
  3. Step 3: Cross multiply
    2,677.83x = 3,695.49 × 1,559.16
  4. Step 4: Simplify right side
    2,677.83x = 5,761,860.19
  5. Step 5: Solve for x
    x = 5,761,860.19/2,677.83
  6. Step 6: Final answer
    x = 2,151.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.